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141397696 = 2611219312
BaseRepresentation
bin10000110110110…
…00111011000000
3100212001202011201
420123120323000
5242144211241
622010350544
73334601116
oct1033307300
9325052151
10141397696
11728a7200
123b42b454
13233a959b
1414ac9ab6
15c630931
hex86d8ec0

141397696 has 126 divisors (see below), whose sum is σ = 335455260. Its totient is φ = 58924800.

The previous prime is 141397673. The next prime is 141397703. The reversal of 141397696 is 696793141.

It is a happy number.

Its product of digits (244944) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4561201 + ... + 4561231.

Almost surely, 2141397696 is an apocalyptic number.

141397696 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 141397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167727630).

141397696 is an abundant number, since it is smaller than the sum of its proper divisors (194057564).

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

141397696 is a wasteful number, since it uses less digits than its factorization.

141397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The square root of 141397696 is about 11891.0763179790. The cubic root of 141397696 is about 520.9716743184.

The spelling of 141397696 in words is "one hundred forty-one million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 64 76 88 121 124 152 176 209 242 248 304 341 352 418 484 496 589 608 682 704 836 961 968 992 1178 1216 1364 1672 1922 1936 1984 2299 2356 2728 3344 3751 3844 3872 4598 4712 5456 6479 6688 7502 7688 7744 9196 9424 10571 10912 12958 13376 15004 15376 18259 18392 18848 21142 21824 25916 30008 30752 36518 36784 37696 42284 51832 60016 61504 71269 73036 73568 84568 103664 116281 120032 142538 146072 147136 169136 200849 207328 232562 240064 285076 292144 338272 401698 414656 465124 570152 584288 676544 803396 930248 1140304 1168576 1606792 1860496 2209339 2280608 3213584 3720992 4418678 4561216 6427168 7441984 8837356 12854336 17674712 35349424 70698848 141397696