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141410104434 = 232538312011487
BaseRepresentation
bin1000001110110010110…
…0101111010001110010
3111112000010001121101100
42003230230233101302
54304101441320214
6144543553145230
713134163024644
oct2035454572162
9445003047340
10141410104434
1154a76354505
12234a5b5b216
1310447a6aa11
146bb6a10894
153a29910309
hex20ecb2f472

141410104434 has 96 divisors (see below), whose sum is σ = 316406248704. Its totient is φ = 45621388800.

The previous prime is 141410104399. The next prime is 141410104441. The reversal of 141410104434 is 434401014141.

141410104434 is a `hidden beast` number, since 141 + 410 + 104 + 4 + 3 + 4 = 666.

141410104434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141410104398 and 141410104407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95096839 + ... + 95098325.

It is an arithmetic number, because the mean of its divisors is an integer number (3295898424).

Almost surely, 2141410104434 is an apocalyptic number.

141410104434 is an abundant number, since it is smaller than the sum of its proper divisors (174996144270).

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

141410104434 is a wasteful number, since it uses less digits than its factorization.

141410104434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141410104434 its reverse (434401014141), we get a palindrome (575811118575).

The spelling of 141410104434 in words is "one hundred forty-one billion, four hundred ten million, one hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 83 106 159 166 249 318 477 498 747 954 1201 1487 1494 2402 2974 3603 4399 4461 7206 8798 8922 10809 13197 13383 21618 26394 26766 39591 63653 78811 79182 99683 123421 127306 157622 190959 199366 236433 246842 299049 370263 381918 472866 572877 598098 709299 740526 897147 1110789 1145754 1418598 1785887 1794294 2221578 3571774 5283199 5357661 6541313 10566398 10715322 13082626 15849597 16072983 19623939 31699194 32145966 39247878 47548791 58871817 94652011 95097582 117743634 148228621 189304022 283956033 296457242 444685863 567912066 851868099 889371726 1334057589 1703736198 2668115178 7856116913 15712233826 23568350739 47136701478 70705052217 141410104434