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244434444434442 = 23337144139848761
BaseRepresentation
bin110111100100111111010100…
…001110110011110000001010
31012001110201000201002201002000
4313210333110032303300022
5224014303220233400232
62223511344503451430
7102325543254220233
oct6744772416636012
91161421021081060
10244434444434442
117098007a543829
12234b9048a56b76
13a6510b9075552
14445099401008a
151d3d47a54d27c
hexde4fd43b3c0a

244434444434442 has 64 divisors (see below), whose sum is σ = 557872929340800. Its totient is φ = 79275392634240.

The previous prime is 244434444434441. The next prime is 244434444434491.

244434444434442 is a `hidden beast` number, since 2 + 4 + 443 + 44 + 44 + 43 + 44 + 42 = 666.

244434444434442 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2444344444344423 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (244434444434441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287565342 + ... + 288414102.

It is an arithmetic number, because the mean of its divisors is an integer number (8716764520950).

Almost surely, 2244434444434442 is an apocalyptic number.

244434444434442 is an abundant number, since it is smaller than the sum of its proper divisors (313438484906358).

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

244434444434442 is a wasteful number, since it uses less digits than its factorization.

244434444434442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992948 (or 992942 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 54.

The spelling of 244434444434442 in words is "two hundred forty-four trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 144139 288278 432417 848761 864834 1297251 1697522 2546283 2594502 3891753 5092566 5333143 7638849 7783506 10666286 15277698 15999429 22916547 31404157 31998858 45833094 47998287 62808314 94212471 95996574 143994861 188424942 282637413 287989722 565274826 847912239 1695824478 122339561779 244679123558 367018685337 734037370674 1101056056011 2202112112022 3303168168033 4526563785823 6606336336066 9053127571646 13579691357469 27159382714938 40739074072407 81478148144814 122217222217221 244434444434442