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140963878992 = 24323435950329
BaseRepresentation
bin1000001101001000011…
…0100001100001010000
3111110212000102000011010
42003102012201201100
54302143223111432
6144431413050520
713120134126066
oct2032206414120
9443760360133
10140963878992
1154867486752
12233a0626a40
13103a64930b1
146b73656036
153a0066a3cc
hex20d21a1850

140963878992 has 160 divisors (see below), whose sum is σ = 395424691200. Its totient is φ = 43154850816.

The previous prime is 140963878967. The next prime is 140963878997. The reversal of 140963878992 is 299878369041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140963878997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775684 + ... + 2826012.

It is an arithmetic number, because the mean of its divisors is an integer number (2471404320).

Almost surely, 2140963878992 is an apocalyptic number.

140963878992 is a gapful number since it is divisible by the number (12) 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 140963878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197712345600).

140963878992 is an abundant number, since it is smaller than the sum of its proper divisors (254460812208).

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

140963878992 is a wasteful number, since it uses less digits than its factorization.

140963878992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50465 (or 50459 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 140963878992 in words is "one hundred forty billion, nine hundred sixty-three million, eight hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 59 69 86 92 118 129 138 172 177 184 236 258 276 344 354 368 472 516 552 688 708 944 989 1032 1104 1357 1416 1978 2064 2537 2714 2832 2967 3956 4071 5074 5428 5934 7611 7912 8142 10148 10856 11868 15222 15824 16284 20296 21712 23736 30444 32568 40592 47472 50329 58351 60888 65136 100658 116702 121776 150987 175053 201316 233404 301974 350106 402632 466808 603948 700212 805264 933616 1157567 1207896 1400424 2164147 2315134 2415792 2800848 2969411 3472701 4328294 4630268 5938822 6492441 6945402 8656588 8908233 9260536 11877644 12984882 13890804 17313176 17816466 18521072 23755288 25969764 27781608 34626352 35632932 47510576 49775381 51939528 55563216 68296453 71265864 99550762 103879056 127684673 136592906 142531728 149326143 199101524 204889359 255369346 273185812 298652286 383054019 398203048 409778718 510738692 546371624 597304572 766108038 796406096 819557436 1021477384 1092743248 1194609144 1532216076 1639114872 2042954768 2389218288 2936747479 3064432152 3278229744 5873494958 6128864304 8810242437 11746989916 17620484874 23493979832 35240969748 46987959664 70481939496 140963878992