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141878464 = 26713171433
BaseRepresentation
bin10000111010011…
…10010011000000
3100212222011122221
420131032103000
5242310102324
622024540424
73341642560
oct1035162300
9325864587
10141878464
11730a5432
123b621714
1323517370
1414bb2da0
15c6c80e4
hex874e4c0

141878464 has 112 divisors (see below), whose sum is σ = 367149888. Its totient is φ = 52789248.

The previous prime is 141878449. The next prime is 141878489. The reversal of 141878464 is 464878141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 141878464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98292 + ... + 99724.

It is an arithmetic number, because the mean of its divisors is an integer number (3278124).

Almost surely, 2141878464 is an apocalyptic number.

141878464 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 141878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183574944).

141878464 is an abundant number, since it is smaller than the sum of its proper divisors (225271424).

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

141878464 is a wasteful number, since it uses less digits than its factorization.

141878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 141878464 is about 11911.2746589104. The cubic root of 141878464 is about 521.5614603866.

The spelling of 141878464 in words is "one hundred forty-one million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 952 1088 1433 1456 1547 1768 1904 2866 2912 3094 3536 3808 5732 5824 6188 7072 7616 10031 11464 12376 14144 18629 20062 22928 24361 24752 37258 40124 45856 48722 49504 74516 80248 91712 97444 99008 130403 149032 160496 170527 194888 260806 298064 316693 320992 341054 389776 521612 596128 633386 641984 682108 779552 1043224 1192256 1266772 1364216 1559104 2086448 2216851 2533544 2728432 4172896 4433702 5067088 5456864 8345792 8867404 10134176 10913728 17734808 20268352 35469616 70939232 141878464