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144521516120 = 2357948793911
BaseRepresentation
bin1000011010011000100…
…1110101010001011000
3111211000221201200211012
42012212021311101120
54331440002003440
6150220421353052
713304243422022
oct2064611652130
9454027650735
10144521516120
11563226a0123
1224013b68788
1310822560017
146dcdd39012
153b5cb5ee65
hex21a6275458

144521516120 has 64 divisors (see below), whose sum is σ = 329969203200. Its totient is φ = 56959044480.

The previous prime is 144521516057. The next prime is 144521516137. The reversal of 144521516120 is 21615125441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491965 + ... + 1585875.

It is an arithmetic number, because the mean of its divisors is an integer number (5155768800).

Almost surely, 2144521516120 is an apocalyptic number.

144521516120 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 144521516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164984601600).

144521516120 is an abundant number, since it is smaller than the sum of its proper divisors (185447687080).

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

144521516120 is a wasteful number, since it uses less digits than its factorization.

144521516120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94488 (or 94484 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 144521516120 in words is "one hundred forty-four billion, five hundred twenty-one million, five hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 487 632 790 974 1580 1948 2435 3160 3896 4870 9740 19480 38473 76946 93911 153892 187822 192365 307784 375644 384730 469555 751288 769460 939110 1538920 1878220 3756440 7418969 14837938 29675876 37094845 45734657 59351752 74189690 91469314 148379380 182938628 228673285 296758760 365877256 457346570 914693140 1829386280 3613037903 7226075806 14452151612 18065189515 28904303224 36130379030 72260758060 144521516120