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13362475140 = 22325723461093
BaseRepresentation
bin11000111000111011…
…10011000010000100
31021111020212001212200
430130131303002010
5204331243201030
610045540114500
7652064110320
oct143435630204
937436761780
1013362475140
115737850393
12270b095a30
13134c505231
1490a962980
155331a1d60
hex31c773084

13362475140 has 144 divisors (see below), whose sum is σ = 48337406208. Its totient is φ = 2921478912.

The previous prime is 13362475067. The next prime is 13362475141. The reversal of 13362475140 is 4157426331.

13362475140 is a `hidden beast` number, since 13 + 3 + 624 + 7 + 5 + 14 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13362475095 and 13362475104.

It is not an unprimeable number, because it can be changed into a prime (13362475141) 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, 201567 + ... + 259526.

It is an arithmetic number, because the mean of its divisors is an integer number (335676432).

Almost surely, 213362475140 is an apocalyptic number.

13362475140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13362475140 is an abundant number, since it is smaller than the sum of its proper divisors (34974931068).

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

13362475140 is a wasteful number, since it uses less digits than its factorization.

13362475140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461138 (or 461133 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13362475140 in words is "thirteen billion, three hundred sixty-two million, four hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 461093 922186 1383279 1844372 2305465 2766558 3227651 4149837 4610930 5533116 6455302 6916395 8299674 9221860 9682953 10605139 12910604 13832790 16138255 16599348 19365906 20749185 21210278 27665580 29048859 31815417 32276510 38731812 41498370 42420556 48414765 53025695 58097718 63630834 64553020 74235973 82996740 95446251 96829530 106051390 116195436 127261668 145244295 148471946 159077085 190892502 193659060 212102780 222707919 290488590 296943892 318154170 371179865 381785004 445415838 477231255 580977180 636308340 668123757 742359730 890831676 954462510 1113539595 1336247514 1484719460 1908925020 2227079190 2672495028 3340618785 4454158380 6681237570 13362475140