Search a number
-
+
4040311014198 = 2334117310548509
BaseRepresentation
bin111010110010110101010…
…011011000001100110110
3112022020202012222101201000
4322302311103120030312
51012144024104423243
612332032050544130
7564621446655624
oct72626523301466
915266665871630
104040311014198
111318539267238
12553057b98046
13233ccc434164
14dd7a2d4a514
157016ee295d3
hex3acb54d8336

4040311014198 has 64 divisors (see below), whose sum is σ = 9250621329600. Its totient is φ = 1306327230720.

The previous prime is 4040311014169. The next prime is 4040311014221. The reversal of 4040311014198 is 8914101130404.

4040311014198 is a `hidden beast` number, since 40 + 403 + 1 + 10 + 14 + 198 = 666.

It is a super-2 number, since 2×40403110141982 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 4891233 + ... + 5657276.

It is an arithmetic number, because the mean of its divisors is an integer number (144540958275).

Almost surely, 24040311014198 is an apocalyptic number.

4040311014198 is an abundant number, since it is smaller than the sum of its proper divisors (5210310315402).

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

4040311014198 is a wasteful number, since it uses less digits than its factorization.

4040311014198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548734 (or 10548728 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 4040311014198 in words is "four trillion, forty billion, three hundred eleven million, fourteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 173 246 346 369 519 738 1038 1107 1557 2214 3114 4671 7093 9342 14186 21279 42558 63837 127674 191511 383022 10548509 21097018 31645527 63291054 94936581 189873162 284809743 432488869 569619486 864977738 1297466607 1824892057 2594933214 3649784114 3892399821 5474676171 7784799642 10949352342 11677199463 16424028513 23354398926 32848057026 49272085539 74820574337 98544171078 149641148674 224461723011 448923446022 673385169033 1346770338066 2020155507099 4040311014198