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140125631280 = 24352922987917
BaseRepresentation
bin1000001010000000100…
…0110111001100110000
3111101200121002121110120
42002200020313030300
54243434130200110
6144212310330240
713060305133155
oct2024010671460
9441617077416
10140125631280
11544772a1848
12231a7959980
13102a190b12b
146ad41b222c
1539a1c8a870
hex20a0237330

140125631280 has 160 divisors (see below), whose sum is σ = 451335844800. Its totient is φ = 35920367616.

The previous prime is 140125631279. The next prime is 140125631291. The reversal of 140125631280 is 82136521041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549882 + ... + 1637798.

It is an arithmetic number, because the mean of its divisors is an integer number (2820849030).

Almost surely, 2140125631280 is an apocalyptic number.

140125631280 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 140125631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225667922400).

140125631280 is an abundant number, since it is smaller than the sum of its proper divisors (311210213520).

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

140125631280 is a wasteful number, since it uses less digits than its factorization.

140125631280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88191 (or 88185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 140125631280 in words is "one hundred forty billion, one hundred twenty-five million, six hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 229 232 240 290 348 435 458 464 580 687 696 870 916 1145 1160 1374 1392 1740 1832 2290 2320 2748 3435 3480 3664 4580 5496 6641 6870 6960 9160 10992 13282 13740 18320 19923 26564 27480 33205 39846 53128 54960 66410 79692 87917 99615 106256 132820 159384 175834 199230 263751 265640 318768 351668 398460 439585 527502 531280 703336 796920 879170 1055004 1318755 1406672 1593840 1758340 2110008 2549593 2637510 3516680 4220016 5099186 5275020 7033360 7648779 10198372 10550040 12747965 15297558 20132993 20396744 21100080 25495930 30595116 38243895 40265986 40793488 50991860 60398979 61190232 76487790 80531972 100664965 101983720 120797958 122380464 152975580 161063944 201329930 203967440 241595916 301994895 305951160 322127888 402659860 483191832 583856797 603989790 611902320 805319720 966383664 1167713594 1207979580 1610639440 1751570391 2335427188 2415959160 2919283985 3503140782 4670854376 4831918320 5838567970 7006281564 8757851955 9341708752 11677135940 14012563128 17515703910 23354271880 28025126256 35031407820 46708543760 70062815640 140125631280