Search a number
-
+
40805876367407 = 17293123991112971
BaseRepresentation
bin10010100011100110110111…
…10001000000000000101111
312100111000002200111010221102
421101303123301000000233
520322030413322224112
6222441543311353315
711411061441123164
oct1121633361000057
9170430080433842
1040805876367407
1112002747447658
1246b055152283b
13199cc92b136c8
14a1102d06a06b
154ab6c3d74bc2
hex251cdbc4002f

40805876367407 has 32 divisors (see below), whose sum is σ = 46157174784000. Its totient is φ = 35870043686400.

The previous prime is 40805876367359. The next prime is 40805876367409. The reversal of 40805876367407 is 70476367850804.

It is a cyclic number.

It is not a de Polignac number, because 40805876367407 - 242 = 36407829856303 is a prime.

It is a super-2 number, since 2×408058763674072 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40805876367409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36107432 + ... + 37220402.

It is an arithmetic number, because the mean of its divisors is an integer number (1442411712000).

Almost surely, 240805876367407 is an apocalyptic number.

40805876367407 is a deficient number, since it is larger than the sum of its proper divisors (5351298416593).

40805876367407 is a wasteful number, since it uses less digits than its factorization.

40805876367407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115447.

The product of its (nonzero) digits is 189665280, while the sum is 65.

The spelling of 40805876367407 in words is "forty trillion, eight hundred five billion, eight hundred seventy-six million, three hundred sixty-seven thousand, four hundred seven".

Divisors: 1 17 29 31 493 527 899 2399 15283 40783 69571 74369 1112971 1182707 1264273 2156701 18920507 32276159 34502101 36663917 548694703 586535717 1000560929 2670017429 17009535793 45390296293 77430505441 82770540299 1316318592497 1407099185083 2400345668671 40805876367407