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13149438240 = 2535238911467
BaseRepresentation
bin11000011111100010…
…01000000100100000
31020221101222200012010
430033301020010200
5203412224010430
610012450032520
7643566244431
oct141761100440
936841880163
1013149438240
115638573634
12266b878740
131317334cb3
148ca549488
1551e61ecb0
hex30fc48120

13149438240 has 96 divisors (see below), whose sum is σ = 41441682240. Its totient is φ = 3504743424.

The previous prime is 13149438223. The next prime is 13149438283. The reversal of 13149438240 is 4283494131.

It is a Cunningham number, because it is equal to 1146712-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1140987 + ... + 1152453.

It is an arithmetic number, because the mean of its divisors is an integer number (431684190).

Almost surely, 213149438240 is an apocalyptic number.

13149438240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13149438240 is an abundant number, since it is smaller than the sum of its proper divisors (28292244000).

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

13149438240 is a wasteful number, since it uses less digits than its factorization.

13149438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13149438240 in words is "thirteen billion, one hundred forty-nine million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2389 4778 7167 9556 11467 11945 14334 19112 22934 23890 28668 34401 35835 38224 45868 47780 57335 57336 68802 71670 76448 91736 95560 114670 114672 137604 143340 172005 183472 191120 229340 229344 275208 286680 344010 366944 382240 458680 550416 573360 688020 917360 1100832 1146720 1376040 1834720 2752080 5504160 27394663 54789326 82183989 109578652 136973315 164367978 219157304 273946630 328735956 410919945 438314608 547893260 657471912 821839890 876629216 1095786520 1314943824 1643679780 2191573040 2629887648 3287359560 4383146080 6574719120 13149438240