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150855860943144 = 23327242759597773
BaseRepresentation
bin100010010011001111011110…
…000000001111100100101000
3201210010200100022211110120100
4202103033132000033210220
5124233110300400140034
61252502120434225400
743526655602555100
oct4223173600174450
9653120308743510
10150855860943144
114408167a775375
1214b04a62725260
1366238538b40a6
142937669644200
1512691918d2099
hex8933de00f928

150855860943144 has 72 divisors (see below), whose sum is σ = 475272929258010. Its totient is φ = 43101674554176.

The previous prime is 150855860943143. The next prime is 150855860943167. The reversal of 150855860943144 is 441349068558051.

It is a happy number.

150855860943144 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 5 + 5 + 8 + 609 + 4 + 3 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119351910528900 + 31503950414244 = 10924830^2 + 5612838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (150855860943143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21379795359 + ... + 21379802414.

Almost surely, 2150855860943144 is an apocalyptic number.

150855860943144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150855860943144 is an abundant number, since it is smaller than the sum of its proper divisors (324417068314866).

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

150855860943144 is a wasteful number, since it uses less digits than its factorization.

150855860943144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42759597799 (or 42759597785 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 150855860943144 in words is "one hundred fifty trillion, eight hundred fifty-five billion, eight hundred sixty million, nine hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 42759597773 85519195546 128278793319 171038391092 256557586638 299317184411 342076782184 384836379957 513115173276 598634368822 769672759914 897951553233 1026230346552 1197268737644 1539345519828 1795903106466 2095220290877 2394537475288 2693854659699 3078691039656 3591806212932 4190440581754 5387709319398 6285660872631 7183612425864 8380881163508 10775418638796 12571321745262 16761762327016 18856982617893 21550837277592 25142643490524 37713965235786 50285286981048 75427930471572 150855860943144