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114255320000 = 26547273929
BaseRepresentation
bin110101001101000100…
…1011101001111000000
3101220220122112122000112
41222122021131033000
53332443330220000
6124253240010452
711153232124133
oct1523211351700
9356818478015
10114255320000
1144501170aa8
121a187a60a28
13aa0aca4633
14575c3da21a
152e8a9a3235
hex1a9a25d3c0

114255320000 has 140 divisors (see below), whose sum is σ = 283777974480. Its totient is φ = 45627648000.

The previous prime is 114255319991. The next prime is 114255320029. The reversal of 114255320000 is 23552411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29078036 + ... + 29081964.

It is an arithmetic number, because the mean of its divisors is an integer number (2026985532).

Almost surely, 2114255320000 is an apocalyptic number.

114255320000 is a gapful number since it is divisible by the number (10) 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 114255320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141888987240).

114255320000 is an abundant number, since it is smaller than the sum of its proper divisors (169522654480).

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

114255320000 is an frugal number, since it uses more digits than its factorization.

114255320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 114255320000 its reverse (23552411), we get a palindrome (114278872411).

The spelling of 114255320000 in words is "one hundred fourteen billion, two hundred fifty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 727 800 1000 1250 1454 1600 2000 2500 2908 3635 3929 4000 5000 5816 7270 7858 8000 10000 11632 14540 15716 18175 19645 20000 23264 29080 31432 36350 39290 40000 46528 58160 62864 72700 78580 90875 98225 116320 125728 145400 157160 181750 196450 232640 251456 290800 314320 363500 392900 454375 491125 581600 628640 727000 785800 908750 982250 1163200 1257280 1454000 1571600 1817500 1964500 2455625 2856383 2908000 3143200 3635000 3929000 4911250 5712766 5816000 6286400 7270000 7858000 9822500 11425532 14281915 14540000 15716000 19645000 22851064 28563830 29080000 31432000 39290000 45702128 57127660 71409575 78580000 91404256 114255320 142819150 157160000 182808512 228510640 285638300 357047875 457021280 571276600 714095750 914042560 1142553200 1428191500 1785239375 2285106400 2856383000 3570478750 4570212800 5712766000 7140957500 11425532000 14281915000 22851064000 28563830000 57127660000 114255320000