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134632424236431 = 311213917531522111
BaseRepresentation
bin11110100111001010001101…
…110100100110010110001111
3122122200201211010110220202210
4132213022031310212112033
5120121304201101031211
61154201140514121503
740233604660060302
oct3647121564462617
9578621733426683
10134632424236431
1139997321692100
12131247ba580293
135a17a246c6624
14253635bb58b39
151087171c5c9a6
hex7a728dd2658f

134632424236431 has 48 divisors (see below), whose sum is σ = 198845545687040. Its totient is φ = 80962126819200.

The previous prime is 134632424236421. The next prime is 134632424236487.

134632424236431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134632424236431 - 29 = 134632424235919 is a prime.

It is a super-2 number, since 2×1346324242364312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134632424236421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87690066 + ... + 89212176.

Almost surely, 2134632424236431 is an apocalyptic number.

134632424236431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134632424236431 is a deficient number, since it is larger than the sum of its proper divisors (64213121450609).

134632424236431 is a wasteful number, since it uses less digits than its factorization.

134632424236431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524028 (or 1524017 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 48.

The spelling of 134632424236431 in words is "one hundred thirty-four trillion, six hundred thirty-two billion, four hundred twenty-four million, two hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 139 363 417 1529 1753 4587 5259 16819 19283 50457 57849 212113 243667 636339 731001 1522111 2680337 4566333 8041011 16743221 29483707 50229663 88451121 184175431 211573429 552526293 634720287 2327307719 2668260583 6981923157 8004781749 25600384909 29350866413 76801154727 88052599239 322859530543 370888221037 968578591629 1112664663111 4079770431407 12239311294221 44877474745477 134632424236431