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1345114016456 = 23769188339367
BaseRepresentation
bin10011100100101111000…
…010110000101011001000
311202120222022022221110112
4103210233002300223020
5134014243142011311
62505534205333452
7166116115330220
oct23445702605310
94676868287415
101345114016456
11479506882511
12198837b67288
1399ac7818b32
1449165017080
1524ec988628b
hex1392f0b0ac8

1345114016456 has 64 divisors (see below), whose sum is σ = 2889900948480. Its totient is φ = 574976646720.

The previous prime is 1345114016443. The next prime is 1345114016479. The reversal of 1345114016456 is 6546104115431.

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, 34148885 + ... + 34188251.

It is an arithmetic number, because the mean of its divisors is an integer number (45154702320).

Almost surely, 21345114016456 is an apocalyptic number.

It is an amenable number.

1345114016456 is an abundant number, since it is smaller than the sum of its proper divisors (1544786932024).

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

1345114016456 is a wasteful number, since it uses less digits than its factorization.

1345114016456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40954 (or 40950 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 1345114016456 in words is "one trillion, three hundred forty-five billion, one hundred fourteen million, sixteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 691 883 1382 1766 2764 3532 4837 5528 6181 7064 9674 12362 19348 24724 38696 39367 49448 78734 157468 275569 314936 551138 610153 1102276 1220306 2204552 2440612 4271071 4881224 8542142 17084284 27202597 34168568 34761061 54405194 69522122 108810388 139044244 190418179 217620776 243327427 278088488 380836358 486654854 761672716 973309708 1523345432 1946619416 24019893151 48039786302 96079572604 168139252057 192159145208 336278504114 672557008228 1345114016456