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145220224213413 = 33314310139949543
BaseRepresentation
bin100001000001001110110111…
…111000001110000110100101
3201001011220210010001211202000
4201001032313320032012211
5123013242004344312123
61232505130000435513
742405546351004446
oct4101166770160645
9631156703054660
10145220224213413
11422a9607759868
121435479b318b99
136305292a82bcb
1427c09a6b232cd
1511bc7a093bb43
hex8413b7e0e1a5

145220224213413 has 64 divisors (see below), whose sum is σ = 229495748444160. Its totient is φ = 90605561256000.

The previous prime is 145220224213411. The next prime is 145220224213487. The reversal of 145220224213413 is 314312422022541.

145220224213413 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 0 + 2 + 24 + 213 + 413 = 666.

It is not a de Polignac number, because 145220224213413 - 21 = 145220224213411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145220224213411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16339681 + ... + 23609862.

It is an arithmetic number, because the mean of its divisors is an integer number (3585871069440).

Almost surely, 2145220224213413 is an apocalyptic number.

It is an amenable number.

145220224213413 is a deficient number, since it is larger than the sum of its proper divisors (84275524230747).

145220224213413 is a wasteful number, since it uses less digits than its factorization.

145220224213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39949727 (or 39949721 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 145220224213413 its reverse (314312422022541), we get a palindrome (459532646235954).

The spelling of 145220224213413 in words is "one hundred forty-five trillion, two hundred twenty billion, two hundred twenty-four million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 27 31 43 93 101 129 279 303 387 837 909 1161 1333 2727 3131 3999 4343 9393 11997 13029 28179 35991 39087 84537 117261 134633 403899 1211697 3635091 39949543 119848629 359545887 1078637661 1238435833 1717830349 3715307499 4034903843 5153491047 11145922497 12104711529 15460473141 33437767491 36314134587 46381419423 53252740819 108942403761 125082019133 159758222457 173500865249 375246057399 479274667371 520502595747 1125738172197 1437824002113 1561507787241 3377214516591 4684523361723 5378526822719 16135580468157 48406741404471 145220224213413