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145354146221361 = 37111263749793363
BaseRepresentation
bin100001000011001011100110…
…010000001000110100110001
3201001122201110100221201211110
4201003023212100020310301
5123022440242413040421
61233050434542103533
742421330150204350
oct4103134620106461
9631581410851743
10145354146221361
1142350390192580
121437673557aba9
136314ab636c9ac
1427c726d03d997
1511c0edcc6ba76
hex8432e6408d31

145354146221361 has 32 divisors (see below), whose sum is σ = 241646797145088. Its totient is φ = 75502670667840.

The previous prime is 145354146221359. The next prime is 145354146221377. The reversal of 145354146221361 is 163122641453541.

It is not a de Polignac number, because 145354146221361 - 21 = 145354146221359 is a prime.

It is a super-2 number, since 2×1453541462213612 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145354146221361.

It is not an unprimeable number, because it can be changed into a prime (145354146221461) 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, 21977535 + ... + 27815828.

It is an arithmetic number, because the mean of its divisors is an integer number (7551462410784).

Almost surely, 2145354146221361 is an apocalyptic number.

145354146221361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145354146221361 is a deficient number, since it is larger than the sum of its proper divisors (96292650923727).

145354146221361 is a wasteful number, since it uses less digits than its factorization.

145354146221361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49806021.

The product of its digits is 2073600, while the sum is 48.

The spelling of 145354146221361 in words is "one hundred forty-five trillion, three hundred fifty-four billion, one hundred forty-six million, two hundred twenty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 231 12637 37911 88459 139007 265377 417021 973049 2919147 49793363 149380089 348553541 547726993 1045660623 1643180979 3834088951 11502266853 629238728231 1887716184693 4404671097617 6921626010541 13214013292851 20764878031623 48451382073787 145354146221361