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2153441104000 = 2753672008807
BaseRepresentation
bin11111010101100011000…
…101111001000010000000
321121212102000100120002221
4133111203011321002000
5240240221410312000
64325135512220424
7311403164240344
oct37254305710200
97555360316087
102153441104000
117602a63aa33a
122a942709a714
131280b79cb834
147632726b624
153b038c3361a
hex1f563179080

2153441104000 has 128 divisors (see below), whose sum is σ = 5433905992320. Its totient is φ = 848519654400.

The previous prime is 2153441103973. The next prime is 2153441104007. The reversal of 2153441104000 is 4011443512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2153441104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67597 + ... + 2076403.

It is an arithmetic number, because the mean of its divisors is an integer number (42452390565).

Almost surely, 22153441104000 is an apocalyptic number.

2153441104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153441104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716952996160).

2153441104000 is an abundant number, since it is smaller than the sum of its proper divisors (3280464888320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2153441104000 is an equidigital number, since it uses as much as digits as its factorization.

2153441104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008903 (or 2008881 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2153441104000 its reverse (4011443512), we get a palindrome (2157452547512).

The spelling of 2153441104000 in words is "two trillion, one hundred fifty-three billion, four hundred forty-one million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 268 320 335 400 500 536 640 670 800 1000 1072 1340 1600 1675 2000 2144 2680 3200 3350 4000 4288 5360 6700 8000 8375 8576 10720 13400 16000 16750 21440 26800 33500 42880 53600 67000 107200 134000 214400 268000 536000 1072000 2008807 4017614 8035228 10044035 16070456 20088070 32140912 40176140 50220175 64281824 80352280 100440350 128563648 134590069 160704560 200880700 251100875 257127296 269180138 321409120 401761400 502201750 538360276 642818240 672950345 803522800 1004403500 1076720552 1285636480 1345900690 1607045600 2008807000 2153441104 2691801380 3214091200 3364751725 4017614000 4306882208 5383602760 6428182400 6729503450 8035228000 8613764416 10767205520 13459006900 16070456000 16823758625 17227528832 21534411040 26918013800 32140912000 33647517250 43068822080 53836027600 67295034500 86137644160 107672055200 134590069000 215344110400 269180138000 430688220800 538360276000 1076720552000 2153441104000