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140120449326 = 2321113181130059
BaseRepresentation
bin1000001001111111010…
…1000110000100101110
3111101200020100100011100
42002133311012010232
54243431313334301
6144212003303530
713060213111344
oct2023765060456
9441606310140
10140120449326
1154474382540
12231a607aba6
13102a08155a0
146ad3623994
1539a15b5286
hex209fd4612e

140120449326 has 96 divisors (see below), whose sum is σ = 356879053440. Its totient is φ = 39171585600.

The previous prime is 140120449321. The next prime is 140120449333. The reversal of 140120449326 is 623944021041.

140120449326 is a `hidden beast` number, since 1 + 40 + 120 + 4 + 493 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140120449321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4646485 + ... + 4676543.

It is an arithmetic number, because the mean of its divisors is an integer number (3717490140).

Almost surely, 2140120449326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140120449326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178439526720).

140120449326 is an abundant number, since it is smaller than the sum of its proper divisors (216758604114).

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

140120449326 is a wasteful number, since it uses less digits than its factorization.

140120449326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31902 (or 31899 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 140120449326 in words is "one hundred forty billion, one hundred twenty million, four hundred forty-nine thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 1811 2574 3622 5433 10866 16299 19921 23543 30059 32598 39842 47086 59763 60118 70629 90177 119526 141258 179289 180354 211887 258973 270531 330649 358578 390767 423774 517946 541062 661298 776919 781534 991947 1172301 1553838 1983894 2330757 2344602 2975841 3516903 4298437 4661514 5951682 7033806 8596874 12895311 25790622 38685933 54436849 77371866 108873698 163310547 326621094 489931641 598805339 707679037 979863282 1197610678 1415358074 1796416017 2123037111 3592832034 4246074222 5389248051 6369111333 7784469407 10778496102 12738222666 15568938814 23353408221 46706816442 70060224663 140120449326