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442471174244 = 2211217431250611
BaseRepresentation
bin1100111000001010101…
…01100101000001100100
31120022002120120120021022
412130011111211001210
524222140110033434
6535133552510312
743652563632311
oct6340525450144
91508076516238
10442471174244
11160718496200
127190684b398
1332956669688
14175b6a39d08
15b79a31522e
hex6705565064

442471174244 has 72 divisors (see below), whose sum is σ = 922141259424. Its totient is φ = 184890182400.

The previous prime is 442471174237. The next prime is 442471174247.

442471174244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442471174195 and 442471174204.

It is not an unprimeable number, because it can be changed into a prime (442471174247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271502 + ... + 979109.

It is an arithmetic number, because the mean of its divisors is an integer number (12807517492).

Almost surely, 2442471174244 is an apocalyptic number.

442471174244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442471174244 is an abundant number, since it is smaller than the sum of its proper divisors (479670085180).

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

442471174244 is a wasteful number, since it uses less digits than its factorization.

442471174244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250697 (or 1250684 counting only the distinct ones).

The product of its digits is 802816, while the sum is 44.

The spelling of 442471174244 in words is "four hundred forty-two billion, four hundred seventy-one million, one hundred seventy-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 17 22 34 43 44 68 86 121 172 187 242 374 473 484 731 748 946 1462 1892 2057 2924 4114 5203 8041 8228 10406 16082 20812 32164 88451 176902 353804 1250611 2501222 5002444 13756721 21260387 27513442 42520774 53776273 55026884 85041548 107552546 151323931 215105092 233864257 302647862 467728514 591539003 605295724 914196641 935457028 1183078006 1828393282 2366156012 2572506827 3656786564 5145013654 6506929033 10056163051 10290027308 13013858066 20112326102 26027716132 40224652204 110617793561 221235587122 442471174244