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40134465061434 = 23314891161742967
BaseRepresentation
bin10010010000000100010001…
…00010001000001000111010
312021002211001212122212202000
421020002020202020020322
520230030341023431214
6221205304013121430
711311422313153632
oct1110021042101072
9167084055585660
1040134465061434
1111873a27250a17
1246023b3189276
131951882531c83
149ca7389976c2
15498ec9a6b809
hex24808888823a

40134465061434 has 64 divisors (see below), whose sum is σ = 89257357651200. Its totient is φ = 13367708411904.

The previous prime is 40134465061433. The next prime is 40134465061441. The reversal of 40134465061434 is 43416056443104.

40134465061434 is a `hidden beast` number, since 4 + 0 + 13 + 446 + 50 + 6 + 143 + 4 = 666.

It is a super-2 number, since 2×401344650614342 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40134465061434.

It is not an unprimeable number, because it can be changed into a prime (40134465061433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934055019 + ... + 934097985.

It is an arithmetic number, because the mean of its divisors is an integer number (1394646213300).

Almost surely, 240134465061434 is an apocalyptic number.

40134465061434 is an abundant number, since it is smaller than the sum of its proper divisors (49122892589766).

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

40134465061434 is a wasteful number, since it uses less digits than its factorization.

40134465061434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56084 (or 56078 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 40134465061434 in words is "forty trillion, one hundred thirty-four billion, four hundred sixty-five million, sixty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 1489 2978 4467 8934 11617 13401 23234 26802 34851 40203 42967 69702 80406 85934 104553 128901 209106 257802 313659 386703 627318 773406 1160109 2320218 17297713 34595426 51893139 63977863 103786278 127955726 155679417 191933589 311358834 383867178 467038251 499147639 575800767 934076502 998295278 1151601534 1497442917 1727402301 2994885834 3454804602 4492328751 8984657502 13476986253 26953972506 743230834471 1486461668942 2229692503413 4459385006826 6689077510239 13378155020478 20067232530717 40134465061434