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150242430016 = 26761290127
BaseRepresentation
bin1000101111101100100…
…1011000110001000000
3112100210122122020100001
42023323021120301000
54430144030230031
6153004224405344
713566101404210
oct2137311306100
9470718566301
10150242430016
1158798a31438
122514ba76854
1311224871383
1473b3a5a240
153d9501a861
hex22fb258c40

150242430016 has 84 divisors (see below), whose sum is σ = 346409491584. Its totient is φ = 63333342720.

The previous prime is 150242429921. The next prime is 150242430053. The reversal of 150242430016 is 610034242051.

It is a super-2 number, since 2×1502424300162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621945 + ... + 1712071.

Almost surely, 2150242430016 is an apocalyptic number.

150242430016 is a gapful number since it is divisible by the number (16) 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 150242430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173204745792).

150242430016 is an abundant number, since it is smaller than the sum of its proper divisors (196167061568).

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

150242430016 is an frugal number, since it uses more digits than its factorization.

150242430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90268 (or 90197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 150242430016 its reverse (610034242051), we get a palindrome (760276672067).

The spelling of 150242430016 in words is "one hundred fifty billion, two hundred forty-two million, four hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3721 3904 6832 7442 13664 14884 26047 27328 29768 52094 59536 90127 104188 119072 180254 208376 238144 360508 416752 630889 721016 833504 1261778 1442032 1667008 2523556 2884064 5047112 5497747 5768128 10094224 10995494 20188448 21990988 38484229 40376896 43981976 76968458 87963952 153936916 175927904 307873832 335362567 351855808 615747664 670725134 1231495328 1341450268 2347537969 2462990656 2682900536 4695075938 5365801072 9390151876 10731602144 18780303752 21463204288 37560607504 75121215008 150242430016