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40246200264204 = 22321129239256259
BaseRepresentation
bin10010010011010100011000…
…11110000110011000001100
312021111111110220011021211100
421021222030132012120030
520233343204231423304
6221332503230223100
711322456234544404
oct1111521436063014
9167444426137740
1040246200264204
1111907354918600
12461bb97054a90
13195c27b38257c
149d1cd83c7804
1549bd6916d439
hex249a8c78660c

40246200264204 has 54 divisors (see below), whose sum is σ = 111822718514780. Its totient is φ = 12195818260560.

The previous prime is 40246200264187. The next prime is 40246200264209.

40246200264204 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 6 + 2 + 0 + 0 + 2 + 642 + 0 + 4 = 666.

40246200264204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40246200264209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4619623774 + ... + 4619632485.

Almost surely, 240246200264204 is an apocalyptic number.

40246200264204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40246200264204 is an abundant number, since it is smaller than the sum of its proper divisors (71576518250576).

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

40246200264204 is a wasteful number, since it uses less digits than its factorization.

40246200264204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239256291 (or 9239256275 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 40246200264204 in words is "forty trillion, two hundred forty-six billion, two hundred million, two hundred sixty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 9239256259 18478512518 27717768777 36957025036 55435537554 83153306331 101631818849 110871075108 166306612662 203263637698 304895456547 332613225324 406527275396 609790913094 914686369641 1117950007339 1219581826188 1829372739282 2235900014678 3353850022017 3658745478564 4471800029356 6707700044034 10061550066051 13415400088068 20123100132102 40246200264204