Search a number
-
+
135457030451470 = 257131477431007519
BaseRepresentation
bin11110110011001010001100…
…001011101011000100001110
3122202121120021100112220011011
4132303022030023223010032
5120223311444243421340
61200032033431115434
740350306330205510
oct3663121413530416
9582546240486134
10135457030451470
113a185005372402
1213238591512b7a
135a7770a432a50
14256422603dbb0
15109d83538a0ea
hex7b328c2eb10e

135457030451470 has 64 divisors (see below), whose sum is σ = 300091750318080. Its totient is φ = 42869584614528.

The previous prime is 135457030451459. The next prime is 135457030451497. The reversal of 135457030451470 is 74154030754531.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 133942371 + ... + 134949889.

It is an arithmetic number, because the mean of its divisors is an integer number (4688933598720).

Almost surely, 2135457030451470 is an apocalyptic number.

135457030451470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135457030451470 is an abundant number, since it is smaller than the sum of its proper divisors (164634719866610).

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

135457030451470 is a wasteful number, since it uses less digits than its factorization.

135457030451470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155289.

The product of its (nonzero) digits is 3528000, while the sum is 49.

The spelling of 135457030451470 in words is "one hundred thirty-five trillion, four hundred fifty-seven billion, thirty million, four hundred fifty-one thousand, four hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 147743 295486 738715 1007519 1034201 1477430 1920659 2015038 2068402 3841318 5037595 5171005 7052633 9603295 10075190 10342010 13097747 13444613 14105266 19206590 26195494 26889226 35263165 65488735 67223065 70526330 91684229 130977470 134446130 183368458 458421145 916842290 148853879617 297707759234 744269398085 1041977157319 1488538796170 1935100435021 2083954314638 3870200870042 5209885786595 9675502175105 10419771573190 13545703045147 19351004350210 27091406090294 67728515225735 135457030451470