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13140641280 = 293513131617
BaseRepresentation
bin11000011110011111…
…00100011000000000
31020220210102202000210
430033033210120000
5203403001010110
610011533314120
7643431415344
oct141717443000
936823382023
1013140641280
115633605318
122668935940
131315574bb0
148c92d9624
1551d983520
hex30f3e4600

13140641280 has 160 divisors (see below), whose sum is σ = 45240791904. Its totient is φ = 3234594816.

The previous prime is 13140641197. The next prime is 13140641291. The reversal of 13140641280 is 8214604131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34032 + ... + 165648.

Almost surely, 213140641280 is an apocalyptic number.

13140641280 is a gapful number since it is divisible by the number (10) 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 13140641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22620395952).

13140641280 is an abundant number, since it is smaller than the sum of its proper divisors (32100150624).

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

13140641280 is a wasteful number, since it uses less digits than its factorization.

13140641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131656 (or 131640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13140641280 in words is "thirteen billion, one hundred forty million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 131617 263234 394851 526468 658085 789702 1052936 1316170 1579404 1711021 1974255 2105872 2632340 3158808 3422042 3948510 4211744 5133063 5264680 6317616 6844084 7897020 8423488 8555105 10266126 10529360 12635232 13688168 15794040 16846976 17110210 20532252 21058720 25270464 25665315 27376336 31588080 33693952 34220420 41064504 42117440 50540928 51330630 54752672 63176160 67387904 68440840 82129008 84234880 101081856 102661260 109505344 126352320 136881680 164258016 168469760 202163712 205322520 219010688 252704640 273763360 328516032 336939520 410645040 438021376 505409280 547526720 657032064 821290080 876042752 1010818560 1095053440 1314064128 1642580160 2190106880 2628128256 3285160320 4380213760 6570320640 13140641280