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134328715344 = 243223268915083
BaseRepresentation
bin111110100011010011…
…1011000100001010000
3110211201121011202202100
41331012213120201100
54200101122342334
6141413150320400
712463535145465
oct1750647304120
9424647152670
10134328715344
1151a7207002a
122204a4b9100
13c889939365
14670434966c
153762dbac99
hex1f469d8850

134328715344 has 120 divisors (see below), whose sum is σ = 392450685120. Its totient is φ = 42810679296.

The previous prime is 134328715337. The next prime is 134328715357. The reversal of 134328715344 is 443517823431.

It is a happy number.

134328715344 is a `hidden beast` number, since 1 + 3 + 4 + 32 + 87 + 1 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134328715344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8898427 + ... + 8913509.

It is an arithmetic number, because the mean of its divisors is an integer number (3270422376).

Almost surely, 2134328715344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134328715344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196225342560).

134328715344 is an abundant number, since it is smaller than the sum of its proper divisors (258121969776).

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

134328715344 is a wasteful number, since it uses less digits than its factorization.

134328715344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17800 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 134328715344 in words is "one hundred thirty-four billion, three hundred twenty-eight million, seven hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2689 3312 5378 8067 10756 15083 16134 21512 24201 30166 32268 43024 45249 48402 60332 61847 64536 90498 96804 120664 123694 129072 135747 180996 185541 193608 241328 247388 271494 346909 361992 371082 387216 494776 542988 556623 693818 723984 742164 989552 1040727 1085976 1113246 1387636 1484328 2081454 2171952 2226492 2775272 2968656 3122181 4162908 4452984 5550544 6244362 8325816 8905968 12488724 16651632 24977448 40558187 49954896 81116374 121674561 162232748 243349122 324465496 365023683 486698244 648930992 730047366 932838301 973396488 1460094732 1865676602 1946792976 2798514903 2920189464 3731353204 5597029806 5840378928 7462706408 8395544709 11194059612 14925412816 16791089418 22388119224 33582178836 44776238448 67164357672 134328715344