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13234151088 = 243330799787
BaseRepresentation
bin11000101001101000…
…10001111010110000
31021011022101112101000
430110310101322300
5204100420313323
610025113442000
7645645266604
oct142464217260
937138345330
1013234151088
115681373654
122694110300
13132ba55542
148d78bb504
15526ca4e43
hex314d11eb0

13234151088 has 80 divisors (see below), whose sum is σ = 38111032960. Its totient is φ = 4396970304.

The previous prime is 13234151023. The next prime is 13234151107. The reversal of 13234151088 is 88015143231.

13234151088 is a `hidden beast` number, since 1 + 3 + 23 + 41 + 510 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82731 + ... + 182517.

It is an arithmetic number, because the mean of its divisors is an integer number (476387912).

Almost surely, 213234151088 is an apocalyptic number.

13234151088 is a gapful number since it is divisible by the number (18) 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 13234151088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055516480).

13234151088 is an abundant number, since it is smaller than the sum of its proper divisors (24876881872).

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

13234151088 is a wasteful number, since it uses less digits than its factorization.

13234151088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111 (or 100099 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13234151088 in words is "thirteen billion, two hundred thirty-four million, one hundred fifty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 16578 22104 33156 44208 66312 99787 132624 199574 299361 399148 598722 798296 898083 1197444 1596592 1796166 2394888 2694249 3592332 4789776 5388498 7184664 10776996 14369328 21553992 30634609 43107984 61269218 91903827 122538436 183807654 245076872 275711481 367615308 490153744 551422962 735230616 827134443 1102845924 1470461232 1654268886 2205691848 3308537772 4411383696 6617075544 13234151088