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145620086404 = 2213411292
BaseRepresentation
bin1000011110011110100…
…0100010111010000100
3111220212111212211221111
42013213220202322010
54341212220231104
6150521423454404
713343413211602
oct2074750427204
9456774784844
10145620086404
1156836819251
122427ba57404
1310969030000
147095bc4872
153bc4312404
hex21e7a22e84

145620086404 has 45 divisors (see below), whose sum is σ = 276315413577. Its totient is φ = 67149740736.

The previous prime is 145620086377. The next prime is 145620086431. The reversal of 145620086404 is 404680026541.

The square root of 145620086404 is 381602.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (145620086377) and next prime (145620086431).

It can be written as a sum of positive squares in 7 ways, for example, as 113907600004 + 31712486400 = 337502^2 + 178080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 128980912 + ... + 128982040.

Almost surely, 2145620086404 is an apocalyptic number.

145620086404 is the 381602-nd square number.

It is an amenable number.

145620086404 is a deficient number, since it is larger than the sum of its proper divisors (130695327173).

145620086404 is an frugal number, since it uses more digits than its factorization.

145620086404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 145620086404 in words is "one hundred forty-five billion, six hundred twenty million, eighty-six thousand, four hundred four".

Divisors: 1 2 4 13 26 52 169 338 676 1129 2197 2258 4394 4516 8788 14677 28561 29354 57122 58708 114244 190801 381602 763204 1274641 2480413 2549282 4960826 5098564 9921652 16570333 32245369 33140666 64490738 66281332 128981476 215414329 430828658 861657316 2800386277 5600772554 11201545108 36405021601 72810043202 145620086404