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130141203515040 = 25351901142623623
BaseRepresentation
bin11101100101110011011100…
…001101001100011010100000
3122001210101012020100001210010
4131211303130031030122200
5114024213141044440130
61140442013223204520
736261251225606124
oct3545633415143240
9561711166301703
10130141203515040
1138515635678aa3
121271a2a18a6740
13578035559c553
14241cc21593584
15100a410c9c0b0
hex765cdc34c6a0

130141203515040 has 96 divisors (see below), whose sum is σ = 410160440866176. Its totient is φ = 34686064870400.

The previous prime is 130141203515027. The next prime is 130141203515053. The reversal of 130141203515040 is 40515302141031.

It is an interprime number because it is at equal distance from previous prime (130141203515027) and next prime (130141203515053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130141203514989 and 130141203515007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70399332 + ... + 72224291.

It is an arithmetic number, because the mean of its divisors is an integer number (4272504592356).

Almost surely, 2130141203515040 is an apocalyptic number.

130141203515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130141203515040 is an abundant number, since it is smaller than the sum of its proper divisors (280019237351136).

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

130141203515040 is a wasteful number, since it uses less digits than its factorization.

130141203515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142625542 (or 142625534 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 130141203515040 its reverse (40515302141031), we get a palindrome (170656505656071).

The spelling of 130141203515040 in words is "one hundred thirty trillion, one hundred forty-one billion, two hundred three million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1901 3802 5703 7604 9505 11406 15208 19010 22812 28515 30416 38020 45624 57030 60832 76040 91248 114060 152080 182496 228120 304160 456240 912480 142623623 285247246 427870869 570494492 713118115 855741738 1140988984 1426236230 1711483476 2139354345 2281977968 2852472460 3422966952 4278708690 4563955936 5704944920 6845933904 8557417380 11409889840 13691867808 17114834760 22819779680 34229669520 68459339040 271127507323 542255014646 813382521969 1084510029292 1355637536615 1626765043938 2169020058584 2711275073230 3253530087876 4066912609845 4338040117168 5422550146460 6507060175752 8133825219690 8676080234336 10845100292920 13014120351504 16267650439380 21690200585840 26028240703008 32535300878760 43380401171680 65070601757520 130141203515040