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15140407020732 = 22327597571345207
BaseRepresentation
bin1101110001010010011010…
…0101010000110010111100
31222121102000222221001110200
43130110212211100302330
53441030023144130412
652111223523203500
73121600254161220
oct334244645206274
958542028831420
1015140407020732
114908013065394
12184638b816590
1385a971210836
143a4b2a1b4780
151b3c83e849dc
hexdc526950cbc

15140407020732 has 144 divisors (see below), whose sum is σ = 44539083563520. Its totient is φ = 4246890673536.

The previous prime is 15140407020727. The next prime is 15140407020799. The reversal of 15140407020732 is 23702070404151.

15140407020732 is a `hidden beast` number, since 1 + 5 + 1 + 40 + 407 + 0 + 207 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10582473 + ... + 11927679.

Almost surely, 215140407020732 is an apocalyptic number.

15140407020732 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 15140407020732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269541781760).

15140407020732 is an abundant number, since it is smaller than the sum of its proper divisors (29398676542788).

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

15140407020732 is a wasteful number, since it uses less digits than its factorization.

15140407020732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346040 (or 1346035 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 15140407020732 its reverse (23702070404151), we get a palindrome (38842477424883).

The spelling of 15140407020732 in words is "fifteen trillion, one hundred forty billion, four hundred seven million, twenty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 757 826 1062 1239 1514 1652 2124 2271 2478 3028 3717 4542 4956 5299 6813 7434 9084 10598 13626 14868 15897 21196 27252 31794 44663 47691 63588 89326 95382 133989 178652 190764 267978 312641 401967 535956 625282 803934 937923 1250564 1345207 1607868 1875846 2690414 2813769 3751692 4035621 5380828 5627538 8071242 9416449 11255076 12106863 16142484 18832898 24213726 28249347 37665796 48427452 56498694 79367213 84748041 112997388 158734426 169496082 238101639 317468852 338992164 476203278 555570491 714304917 952406556 1018321699 1111140982 1428609834 1666711473 2036643398 2222281964 2857219668 3054965097 3333422946 4073286796 5000134419 6109930194 6666845892 7128251893 9164895291 10000268838 12219860388 14256503786 18329790582 20000537676 21384755679 28513007572 36659581164 42769511358 60080980241 64154267037 85539022716 120161960482 128308534074 180242940723 240323920964 256617068148 360485881446 420566861687 540728822169 720971762892 841133723374 1081457644338 1261700585061 1682267446748 2162915288676 2523401170122 3785101755183 5046802340244 7570203510366 15140407020732