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504440153114142 = 237313414111348081
BaseRepresentation
bin111001010110010010010000…
…0001000110000011000011110
32110011002000012121000020222010
41302230210200020300120132
51012104221413144123032
64544504335052332050
7211152412146622530
oct16254444010603036
92404060177006863
10504440153114142
1113680395a783793
12486aba6a774026
131886166b7cc49b
148c7d0685c5850
153d4b9a5430ccc
hex1cac92023061e

504440153114142 has 64 divisors (see below), whose sum is σ = 1190234774458368. Its totient is φ = 139472442432000.

The previous prime is 504440153114099. The next prime is 504440153114143. The reversal of 504440153114142 is 241411351044405.

It is a self number, because there is not a number n which added to its sum of digits gives 504440153114142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504440153114143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38777542 + ... + 50125622.

It is an arithmetic number, because the mean of its divisors is an integer number (18597418350912).

Almost surely, 2504440153114142 is an apocalyptic number.

504440153114142 is an abundant number, since it is smaller than the sum of its proper divisors (685794621344226).

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

504440153114142 is a wasteful number, since it uses less digits than its factorization.

504440153114142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382265.

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 504440153114142 in words is "five hundred four trillion, four hundred forty billion, one hundred fifty-three million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 34141 68282 102423 204846 238987 477974 716961 1058371 1433922 2116742 3175113 6350226 7408597 11348081 14817194 22225791 22696162 34044243 44451582 68088486 79436567 158873134 238309701 351790511 476619402 703581022 1055371533 2110743066 2462533577 4925067154 7387600731 14775201462 387434833421 774869666842 1162304500263 2324609000526 2712043833947 5424087667894 8136131501841 12010479836051 16272263003682 24020959672102 36031439508153 72062879016306 84073358852357 168146717704714 252220076557071 504440153114142