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380619138144 = 25371513750977
BaseRepresentation
bin1011000100111101010…
…10110010010001100000
31100101110000001120121110
411202132222302101200
522214001444410034
6450504245023320
736333045202410
oct5423652622140
91311400046543
10380619138144
11137468642aa3
12619246b4b40
1329b7a30034b
14145ca206640
159d7a1cade9
hex589eab2460

380619138144 has 96 divisors (see below), whose sum is σ = 1149419690496. Its totient is φ = 108028108800.

The previous prime is 380619138113. The next prime is 380619138203. The reversal of 380619138144 is 441831916083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 380619138093 and 380619138102.

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 15 ways as a sum of consecutive naturals, for example, 1774017 + ... + 1976960.

It is an arithmetic number, because the mean of its divisors is an integer number (11973121776).

Almost surely, 2380619138144 is an apocalyptic number.

It is an amenable number.

380619138144 is an abundant number, since it is smaller than the sum of its proper divisors (768800552352).

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

380619138144 is a wasteful number, since it uses less digits than its factorization.

380619138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751148 (or 3751140 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 380619138144 in words is "three hundred eighty billion, six hundred nineteen million, one hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 12684 14496 16912 25368 33824 50736 101472 3750977 7501954 11252931 15003908 22505862 26256839 30007816 45011724 52513678 60015632 78770517 90023448 105027356 120031264 157541034 180046896 210054712 315082068 360093792 420109424 566397527 630164136 840218848 1132795054 1260328272 1699192581 2265590108 2520656544 3398385162 3964782689 4531180216 6796770324 7929565378 9062360432 11894348067 13593540648 15859130756 18124720864 23788696134 27187081296 31718261512 47577392268 54374162592 63436523024 95154784536 126873046048 190309569072 380619138144