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134426656330344 = 23337432067593459
BaseRepresentation
bin11110100100001010100101…
…000110010101001001101000
3122121222001200210212020121000
4132210022211012111021220
5120104421243010032334
61153522430421515000
740213001600531460
oct3644124506251150
9577861623766530
10134426656330344
1139918030003774
12130b0953272a60
135a014c1421a91
14252a3dba02ba0
151081b2c249299
hex7a42a5195268

134426656330344 has 128 divisors (see below), whose sum is σ = 436675738752000. Its totient is φ = 37514415701952.

The previous prime is 134426656330331. The next prime is 134426656330361. The reversal of 134426656330344 is 443033656624431.

134426656330344 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 6 + 6 + 563 + 30 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033731714 + ... + 1033861745.

It is an arithmetic number, because the mean of its divisors is an integer number (3411529209000).

Almost surely, 2134426656330344 is an apocalyptic number.

134426656330344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134426656330344 is an abundant number, since it is smaller than the sum of its proper divisors (302249082421656).

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

134426656330344 is a wasteful number, since it uses less digits than its factorization.

134426656330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067593524 (or 2067593514 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 54.

The spelling of 134426656330344 in words is "one hundred thirty-four trillion, four hundred twenty-six billion, six hundred fifty-six million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1806 2322 2408 2709 3096 3612 4644 5418 7224 8127 9288 10836 16254 21672 32508 65016 2067593459 4135186918 6202780377 8270373836 12405560754 14473154213 16540747672 18608341131 24811121508 28946308426 37216682262 43419462639 49622243016 55825023393 57892616852 74433364524 86838925278 88906518737 111650046786 115785233704 130258387917 148866729048 173677850556 177813037474 223300093572 260516775834 266719556211 347355701112 355626074948 390775163751 446600187144 521033551668 533439112422 622345631159 711252149896 781550327502 800158668633 1042067103336 1066878224844 1244691262318 1563100655004 1600317337266 1867036893477 2133756449688 2400476005899 2489382524636 3126201310008 3200634674532 3734073786954 4800952011798 4978765049272 5601110680431 6401269349064 7468147573908 9601904023596 11202221360862 14936295147816 16803332041293 19203808047192 22404442721724 33606664082586 44808885443448 67213328165172 134426656330344