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145331442504 = 23326133090037
BaseRepresentation
bin1000011101011001101…
…1011101001101001000
3111220010101202012221200
42013112123131031020
54340114322130004
6150433033104200
713333306610313
oct2072633351510
9456111665850
10145331442504
11566a88a0876
12241bb258060
13109212aa0c1
14706972997a
153ba8ce8239
hex21d66dd348

145331442504 has 48 divisors (see below), whose sum is σ = 400058559420. Its totient is φ = 47649651840.

The previous prime is 145331442467. The next prime is 145331442523. The reversal of 145331442504 is 405244133541.

145331442504 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 144 + 2 + 504 = 666.

145331442504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86524222500 + 58807220004 = 294150^2 + 242502^2 .

It is a super-2 number, since 2×1453314425042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16540627 + ... + 16549410.

Almost surely, 2145331442504 is an apocalyptic number.

It is an amenable number.

145331442504 is an abundant number, since it is smaller than the sum of its proper divisors (254727116916).

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

145331442504 is a wasteful number, since it uses less digits than its factorization.

145331442504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33090110 (or 33090103 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 145331442504 in words is "one hundred forty-five billion, three hundred thirty-one million, four hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 33090037 66180074 99270111 132360148 198540222 264720296 297810333 397080444 595620666 794160888 1191241332 2018492257 2382482664 4036984514 6055476771 8073969028 12110953542 16147938056 18166430313 24221907084 36332860626 48443814168 72665721252 145331442504