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140131102024320 = 2735116634995361
BaseRepresentation
bin11111110111001011010000…
…100011101110001010000000
3200101011101212102211102101120
4133313023100203232022000
5121331401444104234240
61214011201202232240
741342065225100241
oct3767132043561200
9611141772742346
10140131102024320
11407172a2978580
121387241a655680
1360263c99c4414
14268654aca0cc8
1511301e8e85ad0
hex7f72d08ee280

140131102024320 has 128 divisors (see below), whose sum is σ = 487274059385280. Its totient is φ = 33971176243200.

The previous prime is 140131102024271. The next prime is 140131102024337. The reversal of 140131102024320 is 23420201131041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317476561 + ... + 3317518800.

Almost surely, 2140131102024320 is an apocalyptic number.

140131102024320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140131102024320 is an abundant number, since it is smaller than the sum of its proper divisors (347142957360960).

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

140131102024320 is a wasteful number, since it uses less digits than its factorization.

140131102024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634995394 (or 6634995382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 140131102024320 its reverse (23420201131041), we get a palindrome (163551303155361).

The spelling of 140131102024320 in words is "one hundred forty trillion, one hundred thirty-one billion, one hundred two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 6634995361 13269990722 19904986083 26539981444 33174976805 39809972166 53079962888 66349953610 72984948971 79619944332 99524930415 106159925776 132699907220 145969897942 159239888664 199049860830 212319851552 218954846913 265399814440 291939795884 318479777328 364924744855 398099721660 424639703104 437909693826 530799628880 583879591768 636959554656 729849489710 796199443320 849279406208 875819387652 1061599257760 1094774234565 1167759183536 1273919109312 1459698979420 1592398886640 1751638775304 2123198515520 2189548469130 2335518367072 2547838218624 2919397958840 3184797773280 3503277550608 4246397031040 4379096938260 4671036734144 5838795917680 6369595546560 7006555101216 8758193876520 9342073468288 11677591835360 12739191093120 14013110202432 17516387753040 23355183670720 28026220404864 35032775506080 46710367341440 70065551012160 140131102024320