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13300142127741 = 337487671443007
BaseRepresentation
bin1100000110001010111000…
…1111110011101001111101
31202002110222202212101122000
43001202232033303221331
53220402142341041431
644142000112012513
72541621630525450
oct301425617635175
952073882771560
1013300142127741
114268616551737
1215a97a6831139
1375627608a981
1433da31da3497
15180e7956c9e6
hexc18ae3f3a7d

13300142127741 has 32 divisors (see below), whose sum is σ = 22519236526080. Its totient is φ = 7599920104368.

The previous prime is 13300142127691. The next prime is 13300142127751. The reversal of 13300142127741 is 14772124100331.

13300142127741 is a `hidden beast` number, since 1 + 3 + 300 + 1 + 42 + 1 + 277 + 41 = 666.

It is not a de Polignac number, because 13300142127741 - 29 = 13300142127229 is a prime.

It is a super-3 number, since 3×133001421277413 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13300142127696 and 13300142127705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300142127751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8495460 + ... + 9938466.

It is an arithmetic number, because the mean of its divisors is an integer number (703726141440).

Almost surely, 213300142127741 is an apocalyptic number.

It is an amenable number.

13300142127741 is a deficient number, since it is larger than the sum of its proper divisors (9219094398339).

13300142127741 is a wasteful number, since it uses less digits than its factorization.

13300142127741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491790 (or 1491784 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13300142127741 in words is "thirteen trillion, three hundred billion, one hundred forty-two million, one hundred twenty-seven thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 48767 146301 341369 438903 1024107 1316709 1443007 3072321 4329021 9216963 10101049 12987063 30303147 38961189 90909441 272728323 70371122369 211113367107 492597856583 633340101321 1477793569749 1900020303963 4433380709247 13300142127741