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514111198440 = 233572921104729
BaseRepresentation
bin1110111101100110110…
…10100101010011101000
31211011000021220212101210
413132303122211103220
531410344431322230
61032102431113120
752100104040520
oct7366332452350
91734007825353
10514111198440
11189040406774
128377a9727a0
13396327c1638
141ac513a4680
15d58e8cdeb0
hex77b36a54e8

514111198440 has 128 divisors (see below), whose sum is σ = 1823448672000. Its totient is φ = 113459017728.

The previous prime is 514111198429. The next prime is 514111198453. The reversal of 514111198440 is 44891111415.

It is a super-2 number, since 2×5141111984402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10528005 + ... + 10576724.

It is an arithmetic number, because the mean of its divisors is an integer number (14245692750).

Almost surely, 2514111198440 is an apocalyptic number.

It is an amenable number.

514111198440 is an abundant number, since it is smaller than the sum of its proper divisors (1309337473560).

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

514111198440 is a wasteful number, since it uses less digits than its factorization.

514111198440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21104779 (or 21104775 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 514111198440 in words is "five hundred fourteen billion, one hundred eleven million, one hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 24360 21104729 42209458 63314187 84418916 105523645 126628374 147733103 168837832 211047290 253256748 295466206 316570935 422094580 443199309 506513496 590932412 612037141 633141870 738665515 844189160 886398618 1181864824 1224074282 1266283740 1477331030 1772797236 1836111423 2215996545 2448148564 2532567480 2954662060 3060185705 3545594472 3672222846 4284259987 4431993090 4896297128 5909324120 6120371410 7344445692 8568519974 8863986180 9180557115 12240742820 12852779961 14688891384 17137039948 17727972360 18361114230 21421299935 24481485640 25705559922 34274079896 36722228460 42842599870 51411119844 64263899805 73444456920 85685199740 102822239688 128527799610 171370399480 257055599220 514111198440