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144455110261434 = 2337834604293691
BaseRepresentation
bin100000110110000110010011…
…100010000111101010111010
3200221110202220000011221222000
4200312012103202013222322
5122413223031211331214
61231121432253241430
742266352203504310
oct4066062342075272
9627422800157860
10144455110261434
1142034082895315
1214250450193276
13627b09b5400cb
142795943ac40b0
1511a79201bb809
hex836193887aba

144455110261434 has 64 divisors (see below), whose sum is σ = 371290243322880. Its totient is φ = 40775624918640.

The previous prime is 144455110261433. The next prime is 144455110261439. The reversal of 144455110261434 is 434162011554441.

144455110261434 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 51 + 102 + 61 + 434 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144455110261434.

It is not an unprimeable number, because it can be changed into a prime (144455110261433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302115472 + ... + 2302178219.

It is an arithmetic number, because the mean of its divisors is an integer number (5801410051920).

Almost surely, 2144455110261434 is an apocalyptic number.

144455110261434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144455110261434 is an abundant number, since it is smaller than the sum of its proper divisors (226835133061446).

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

144455110261434 is a wasteful number, since it uses less digits than its factorization.

144455110261434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604293792 (or 4604293786 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 144455110261434 in words is "one hundred forty-four trillion, four hundred fifty-five billion, one hundred ten million, two hundred sixty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1494 1743 2241 3486 4482 5229 10458 15687 31374 4604293691 9208587382 13812881073 27625762146 32230055837 41438643219 64460111674 82877286438 96690167511 124315929657 193380335022 248631859314 290070502533 382156376353 580141005066 764312752706 870211507599 1146469129059 1740423015198 2292938258118 2675094634471 3439407387177 5350189268942 6878814774354 8025283903413 10318222161531 16050567806826 20636444323062 24075851710239 48151703420478 72227555130717 144455110261434