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13414248960 = 29357249521
BaseRepresentation
bin11000111111000110…
…10011001000000000
31021121212021110012120
430133203103020000
5204433021431320
610055025524240
7653263143360
oct143743231000
937555243176
1013414248960
115763aa2872
1227244a3680
13135a161b28
1491379c9a0
155379cc440
hex31f8d3200

13414248960 has 160 divisors (see below), whose sum is σ = 49010113152. Its totient is φ = 3066101760.

The previous prime is 13414248907. The next prime is 13414248971. The reversal of 13414248960 is 6984241431.

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

It is a super-2 number, since 2×134142489602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 71001 + ... + 178520.

Almost surely, 213414248960 is an apocalyptic number.

13414248960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414248960 is an abundant number, since it is smaller than the sum of its proper divisors (35595864192).

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

13414248960 is an equidigital number, since it uses as much as digits as its factorization.

13414248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249554 (or 249538 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13414248960 in words is "thirteen billion, four hundred fourteen million, two hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 249521 499042 748563 998084 1247605 1497126 1746647 1996168 2495210 2994252 3493294 3742815 3992336 4990420 5239941 5988504 6986588 7485630 7984672 8733235 9980840 10479882 11977008 13973176 14971260 15969344 17466470 19961680 20959764 23954016 26199705 27946352 29942520 31938688 34932940 39923360 41919528 47908032 52399410 55892704 59885040 63877376 69865880 79846720 83839056 95816064 104798820 111785408 119770080 127754752 139731760 159693440 167678112 191632128 209597640 223570816 239540160 279463520 319386880 335356224 383264256 419195280 447141632 479080320 558927040 638773760 670712448 838390560 894283264 958160640 1117854080 1341424896 1676781120 1916321280 2235708160 2682849792 3353562240 4471416320 6707124480 13414248960