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378940452144 = 243174391057831
BaseRepresentation
bin1011000001110101001…
…11000110110100110000
31100020010000022111022220
411200322213012310300
522202032223432034
6450025521001040
736243332461212
oct5407247066460
91306100274286
10378940452144
111367870083a1
1261536483180
13299705a7317
14144ab2ac5b2
159cccb37749
hex583a9c6d30

378940452144 has 80 divisors (see below), whose sum is σ = 1038875650560. Its totient is φ = 118612362240.

The previous prime is 378940452097. The next prime is 378940452179. The reversal of 378940452144 is 441254049873.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170692 + ... + 887139.

It is an arithmetic number, because the mean of its divisors is an integer number (12985945632).

Almost surely, 2378940452144 is an apocalyptic number.

378940452144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

378940452144 is an abundant number, since it is smaller than the sum of its proper divisors (659935198416).

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

378940452144 is a wasteful number, since it uses less digits than its factorization.

378940452144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058298 (or 1058292 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 378940452144 in words is "three hundred seventy-eight billion, nine hundred forty million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 439 816 878 1317 1756 2634 3512 5268 7024 7463 10536 14926 21072 22389 29852 44778 59704 89556 119408 179112 358224 1057831 2115662 3173493 4231324 6346986 8462648 12693972 16925296 17983127 25387944 35966254 50775888 53949381 71932508 107898762 143865016 215797524 287730032 431595048 464387809 863190096 928775618 1393163427 1857551236 2786326854 3715102472 5572653708 7430204944 7894592753 11145307416 15789185506 22290614832 23683778259 31578371012 47367556518 63156742024 94735113036 126313484048 189470226072 378940452144