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1152012040424 = 237373299168533
BaseRepresentation
bin10000110000111001010…
…001001011100011101000
311002010112200220011221022
4100300321101023203220
5122333310040243144
62241121012032012
7146141634530240
oct20607121134350
94063480804838
101152012040424
11404624844873
12167326602608
138483264985b
143da87108b20
151ee76cd5cee
hex10c3944b8e8

1152012040424 has 64 divisors (see below), whose sum is σ = 2536099632000. Its totient is φ = 480227215104.

The previous prime is 1152012040423. The next prime is 1152012040441. The reversal of 1152012040424 is 4240402102511.

It is a junction number, because it is equal to n+sod(n) for n = 1152012040393 and 1152012040402.

It is not an unprimeable number, because it can be changed into a prime (1152012040423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6751262 + ... + 6919794.

It is an arithmetic number, because the mean of its divisors is an integer number (39626556750).

Almost surely, 21152012040424 is an apocalyptic number.

1152012040424 is a gapful number since it is divisible by the number (14) 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 1152012040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268049816000).

1152012040424 is an abundant number, since it is smaller than the sum of its proper divisors (1384087591576).

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

1152012040424 is a wasteful number, since it uses less digits than its factorization.

1152012040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171882 (or 171878 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 1152012040424 its reverse (4240402102511), we get a palindrome (5392414142935).

The spelling of 1152012040424 in words is "one trillion, one hundred fifty-two billion, twelve million, forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 3299 6598 13196 23093 26392 46186 92372 122063 168533 184744 244126 337066 488252 674132 854441 976504 1179731 1348264 1708882 2359462 3417764 4718924 6235721 6835528 9437848 12471442 24942884 43650047 49885768 87300094 174600188 349200376 555990367 1111980734 2223961468 3891932569 4447922936 7783865138 15567730276 20571643579 31135460552 41143287158 82286574316 144001505053 164573148632 288003010106 576006020212 1152012040424