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1395140759976 = 2331723304948761
BaseRepresentation
bin10100010011010100110…
…111101001000110101000
311221101002202110211022010
4110103110313221012220
5140324222013304401
62544530244155520
7202536613536345
oct24232467510650
94841082424263
101395140759976
11498748651347
121a6479998ba0
13a173ac90512
144b74d1097cc
152645675eed6
hex144d4de91a8

1395140759976 has 128 divisors (see below), whose sum is σ = 3854928672000. Its totient is φ = 418515271680.

The previous prime is 1395140759963. The next prime is 1395140760023. The reversal of 1395140759976 is 6799570415931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28587436 + ... + 28636196.

It is an arithmetic number, because the mean of its divisors is an integer number (30116630250).

Almost surely, 21395140759976 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 1395140759976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927464336000).

1395140759976 is an abundant number, since it is smaller than the sum of its proper divisors (2459787912024).

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

1395140759976 is a wasteful number, since it uses less digits than its factorization.

1395140759976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51859 (or 51855 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 66.

The spelling of 1395140759976 in words is "one trillion, three hundred ninety-five billion, one hundred forty million, seven hundred fifty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3049 3128 4692 6098 9147 9384 12196 18294 24392 36588 48761 51833 70127 73176 97522 103666 140254 146283 155499 195044 207332 210381 280508 292566 310998 390088 414664 420762 561016 585132 621996 828937 841524 1121503 1170264 1192159 1243992 1657874 1683048 2243006 2384318 2486811 3315748 3364509 3576477 4486012 4768636 4973622 6631496 6729018 7152954 8972024 9537272 9947244 13458036 14305908 19065551 19894488 26916072 28611816 38131102 57196653 76262204 114393306 148672289 152524408 228786612 297344578 446016867 457573224 594689156 892033734 1189378312 1784067468 2527428913 3419462647 3568134936 5054857826 6838925294 7582286739 10109715652 10258387941 13677850588 15164573478 20219431304 20516775882 27355701176 30329146956 41033551764 58130864999 60658293912 82067103528 116261729998 174392594997 232523459996 348785189994 465046919992 697570379988 1395140759976