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140837112864 = 25327349200171
BaseRepresentation
bin1000001100101010001…
…0111100110000100000
3111110112011212121201100
42003022202330300200
54301413300102424
6144411044034400
713114034464410
oct2031242746040
9443464777640
10140837112864
1154801973458
1223366092a00
131038613a556
146b60898640
1539e4479dc9
hex20ca8bcc20

140837112864 has 144 divisors (see below), whose sum is σ = 459034430400. Its totient is φ = 40123676160.

The previous prime is 140837112847. The next prime is 140837112929. The reversal of 140837112864 is 468211738041.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603499 + ... + 803669.

It is an arithmetic number, because the mean of its divisors is an integer number (3187739100).

Almost surely, 2140837112864 is an apocalyptic number.

140837112864 is a gapful number since it is divisible by the number (14) 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 140837112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229517215200).

140837112864 is an abundant number, since it is smaller than the sum of its proper divisors (318197317536).

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

140837112864 is a wasteful number, since it uses less digits than its factorization.

140837112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200543 (or 200532 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 140837112864 in words is "one hundred forty billion, eight hundred thirty-seven million, one hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 349 504 672 698 1008 1047 1396 2016 2094 2443 2792 3141 4188 4886 5584 6282 7329 8376 9772 11168 12564 14658 16752 19544 21987 25128 29316 33504 39088 43974 50256 58632 78176 87948 100512 117264 175896 200171 234528 351792 400342 600513 703584 800684 1201026 1401197 1601368 1801539 2402052 2802394 3202736 3603078 4203591 4804104 5604788 6405472 7206156 8407182 9608208 11209576 12610773 14412312 16814364 19216416 22419152 25221546 28824624 33628728 44838304 50443092 57649248 67257456 69859679 100886184 134514912 139719358 201772368 209579037 279438716 403544736 419158074 489017753 558877432 628737111 838316148 978035506 1117754864 1257474222 1467053259 1676632296 1956071012 2235509728 2514948444 2934106518 3353264592 3912142024 4401159777 5029896888 5868213036 6706529184 7824284048 8802319554 10059793776 11736426072 15648568096 17604639108 20119587552 23472852144 35209278216 46945704288 70418556432 140837112864