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135445378280744 = 2374018277293337
BaseRepresentation
bin11110110010111111010101…
…101010001010110100101000
3122202120110012021221021212102
4132302333111222022310220
5120223114113314440434
61200022425304432532
740346414511325340
oct3662772552126450
9582513167837772
10135445378280744
113a180075a93044
121323627b178748
135a765a137437c
14256383c6c5d20
15109d3a242507e
hex7b2fd5a8ad28

135445378280744 has 64 divisors (see below), whose sum is σ = 291315757599360. Its totient is φ = 57833237145600.

The previous prime is 135445378280743. The next prime is 135445378280759. The reversal of 135445378280744 is 447082873544531.

It is a super-2 number, since 2×1354453782807442 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135445378280743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14924444 + ... + 22217780.

It is an arithmetic number, because the mean of its divisors is an integer number (4551808712490).

Almost surely, 2135445378280744 is an apocalyptic number.

135445378280744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135445378280744 is an abundant number, since it is smaller than the sum of its proper divisors (155870379318616).

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

135445378280744 is a wasteful number, since it uses less digits than its factorization.

135445378280744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294578 (or 7294574 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 65.

The spelling of 135445378280744 in words is "one hundred thirty-five trillion, four hundred forty-five billion, three hundred seventy-eight million, two hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 401 802 827 1604 1654 2807 3208 3308 5614 5789 6616 11228 11578 22456 23156 46312 331627 663254 1326508 2321389 2653016 4642778 7293337 9285556 14586674 18571112 29173348 51053359 58346696 102106718 204213436 408426872 2924628137 5849256274 6031589699 11698512548 12063179398 20472396959 23397025096 24126358796 40944793918 42221127893 48252717592 81889587836 84442255786 163779175672 168884511572 337769023144 2418667469299 4837334938598 9674669877196 16930672285093 19349339754392 33861344570186 67722689140372 135445378280744