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151042040112 = 24343307238369
BaseRepresentation
bin1000110010101011001…
…1101010000100110000
3112102212101020122011210
42030222303222010300
54433313230240422
6153215431040120
713624651105035
oct2145263520460
9472771218153
10151042040112
1159069326327
1225333810040
1311321418942
14744bd2338c
153de031710c
hex232acea130

151042040112 has 80 divisors (see below), whose sum is σ = 400568389760. Its totient is φ = 49016088576.

The previous prime is 151042040111. The next prime is 151042040141. The reversal of 151042040112 is 211040240151.

It is not an unprimeable number, because it can be changed into a prime (151042040111) 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, 514464 + ... + 752832.

It is an arithmetic number, because the mean of its divisors is an integer number (5007104872).

Almost surely, 2151042040112 is an apocalyptic number.

151042040112 is a gapful number since it is divisible by the number (12) 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 151042040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200284194880).

151042040112 is an abundant number, since it is smaller than the sum of its proper divisors (249526349648).

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

151042040112 is a wasteful number, since it uses less digits than its factorization.

151042040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238730 (or 238724 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 151042040112 its reverse (211040240151), we get a palindrome (362082280263).

The spelling of 151042040112 in words is "one hundred fifty-one billion, forty-two million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 307 344 516 614 688 921 1032 1228 1842 2064 2456 3684 4912 7368 13201 14736 26402 39603 52804 79206 105608 158412 211216 238369 316824 476738 633648 715107 953476 1430214 1906952 2860428 3813904 5720856 10249867 11441712 20499734 30749601 40999468 61499202 73179283 81998936 122998404 146358566 163997872 219537849 245996808 292717132 439075698 491993616 585434264 878151396 1170868528 1756302792 3146709169 3512605584 6293418338 9440127507 12586836676 18880255014 25173673352 37760510028 50347346704 75521020056 151042040112