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145509355940 = 22513559651369
BaseRepresentation
bin1000011110000100001…
…0001001000110100100
3111220120210112011022012
42013201002021012210
54341000343342230
6150502430253352
713340600055344
oct2074102110644
9456523464265
10145509355940
115678a268873
122424a957258
131094c100320
1470851dcd24
153bb973d395
hex21e10891a4

145509355940 has 24 divisors (see below), whose sum is σ = 329075005560. Its totient is φ = 53726531328.

The previous prime is 145509355931. The next prime is 145509355967. The reversal of 145509355940 is 49553905541.

It can be written as a sum of positive squares in 4 ways, for example, as 5070294436 + 140439061504 = 71206^2 + 374752^2 .

It is a super-2 number, since 2×1455093559402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 279825425 + ... + 279825944.

It is an arithmetic number, because the mean of its divisors is an integer number (13711458565).

Almost surely, 2145509355940 is an apocalyptic number.

145509355940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145509355940 is an abundant number, since it is smaller than the sum of its proper divisors (183565649620).

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

145509355940 is a wasteful number, since it uses less digits than its factorization.

145509355940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559651391 (or 559651389 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 50.

The spelling of 145509355940 in words is "one hundred forty-five billion, five hundred nine million, three hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 559651369 1119302738 2238605476 2798256845 5596513690 7275467797 11193027380 14550935594 29101871188 36377338985 72754677970 145509355940