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152114552040 = 233511115238297
BaseRepresentation
bin1000110110101010111…
…0111101110011101000
3112112122010100212221210
42031222232331303220
54443012311131130
6153514102433120
713663353234003
oct2155256756350
9475563325853
10152114552040
1159569776420
1225592a327a0
1311462693a99
14751054853a
153e5456d5b0
hex236abbdce8

152114552040 has 64 divisors (see below), whose sum is σ = 497829447360. Its totient is φ = 36876254720.

The previous prime is 152114552039. The next prime is 152114552047. The reversal of 152114552040 is 40255411251.

It is a super-3 number, since 3×1521145520403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152114551989 and 152114552007.

It is not an unprimeable number, because it can be changed into a prime (152114552047) 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, 57617829 + ... + 57620468.

It is an arithmetic number, because the mean of its divisors is an integer number (7778585115).

Almost surely, 2152114552040 is an apocalyptic number.

152114552040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152114552040 is an abundant number, since it is smaller than the sum of its proper divisors (345714895320).

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

152114552040 is a wasteful number, since it uses less digits than its factorization.

152114552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115238322 (or 115238318 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 152114552040 its reverse (40255411251), we get a palindrome (192369963291).

The spelling of 152114552040 in words is "one hundred fifty-two billion, one hundred fourteen million, five hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 115238297 230476594 345714891 460953188 576191485 691429782 921906376 1152382970 1267621267 1382859564 1728574455 2304765940 2535242534 2765719128 3457148910 3802863801 4609531880 5070485068 6338106335 6914297820 7605727602 10140970136 12676212670 13828595640 15211455204 19014319005 25352425340 30422910408 38028638010 50704850680 76057276020 152114552040