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140205514523424 = 25371910981008343
BaseRepresentation
bin11111111000010000100011…
…111000111000001100100000
3200101102111221101002001002220
4133320100203320320030200
5121334111343204222144
61214105305120311040
741350341231643620
oct3770204370701440
9611374841061086
10140205514523424
1140745908886519
1213884927172480
136030428359c8c
142689da9926880
151132101b4d919
hex7f8423e38320

140205514523424 has 96 divisors (see below), whose sum is σ = 442754256430080. Its totient is φ = 37950364829952.

The previous prime is 140205514523419. The next prime is 140205514523441. The reversal of 140205514523424 is 424325415502041.

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 (42).

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, 5490491404 + ... + 5490516939.

It is an arithmetic number, because the mean of its divisors is an integer number (4612023504480).

Almost surely, 2140205514523424 is an apocalyptic number.

140205514523424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140205514523424 is an abundant number, since it is smaller than the sum of its proper divisors (302548741906656).

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

140205514523424 is a wasteful number, since it uses less digits than its factorization.

140205514523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981008382 (or 10981008374 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 140205514523424 in words is "one hundred forty trillion, two hundred five billion, five hundred fourteen million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 10981008343 21962016686 32943025029 43924033372 65886050058 76867058401 87848066744 131772100116 153734116802 175696133488 208639158517 230601175203 263544200232 307468233604 351392266976 417278317034 461202350406 527088400464 614936467208 625917475551 834556634068 922404700812 1054176800928 1229872934416 1251834951102 1460474109619 1669113268136 1844809401624 2459745868832 2503669902204 2920948219238 3338226536272 3689618803248 4381422328857 5007339804408 5841896438476 6676453072544 7379237606496 8762844657714 10014679608816 11683792876952 17525689315428 20029359217632 23367585753904 35051378630856 46735171507808 70102757261712 140205514523424