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140131130240 = 2753112915471
BaseRepresentation
bin1000001010000001110…
…1110101101110000000
3111101200222102222121202
42002200131311232000
54243442032131430
6144213024240332
713060402645133
oct2024035655600
9441628388552
10140131130240
115447a408242
12231a97700a8
13102a2ab505a
146ad4c0421a
1539a24c4d45
hex20a0775b80

140131130240 has 128 divisors (see below), whose sum is σ = 346138583040. Its totient is φ = 54192384000.

The previous prime is 140131130239. The next prime is 140131130287. The reversal of 140131130240 is 42031131041.

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 (20).

It is a congruent number.

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, 25610705 + ... + 25616175.

It is an arithmetic number, because the mean of its divisors is an integer number (2704207680).

Almost surely, 2140131130240 is an apocalyptic number.

140131130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140131130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069291520).

140131130240 is an abundant number, since it is smaller than the sum of its proper divisors (206007452800).

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

140131130240 is a wasteful number, since it uses less digits than its factorization.

140131130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 140131130240 its reverse (42031131041), we get a palindrome (182162261281).

The spelling of 140131130240 in words is "one hundred forty billion, one hundred thirty-one million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1291 1984 2480 2582 3968 4960 5164 5471 6455 9920 10328 10942 12910 19840 20656 21884 25820 27355 40021 41312 43768 51640 54710 80042 82624 87536 103280 109420 160084 165248 169601 175072 200105 206560 218840 320168 339202 350144 400210 413120 437680 640336 678404 700288 800420 826240 848005 875360 1280672 1356808 1600840 1696010 1750720 2561344 2713616 3201680 3392020 3501440 5122688 5427232 6403360 6784040 7063061 10854464 12806720 13568080 14126122 21708928 25613440 27136160 28252244 35315305 54272320 56504488 70630610 108544640 113008976 141261220 218954891 226017952 282522440 437909782 452035904 565044880 875819564 904071808 1094774455 1130089760 1751639128 2189548910 2260179520 3503278256 4379097820 4520359040 7006556512 8758195640 14013113024 17516391280 28026226048 35032782560 70065565120 140131130240