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244814418442 = 2112961103157389
BaseRepresentation
bin1110010000000000010…
…0111001001000001010
3212101220112112000112001
43210000010321020022
513002334442342232
6304244410341214
723454505136116
oct3440004711012
9771815460461
10244814418442
11949093a2060
123b543a2a80a
131a116953a39
14bbc5c42746
15657c9556e7
hex390013920a

244814418442 has 128 divisors (see below), whose sum is σ = 429111820800. Its totient is φ = 103720780800.

The previous prime is 244814418437. The next prime is 244814418479.

244814418442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244814418392 and 244814418401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629342784 + ... + 629343172.

It is an arithmetic number, because the mean of its divisors is an integer number (3352436100).

Almost surely, 2244814418442 is an apocalyptic number.

244814418442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244814418442 is a deficient number, since it is larger than the sum of its proper divisors (184297402358).

244814418442 is a wasteful number, since it uses less digits than its factorization.

244814418442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

The product of its digits is 1048576, while the sum is 46.

The spelling of 244814418442 in words is "two hundred forty-four billion, eight hundred fourteen million, four hundred eighteen thousand, four hundred forty-two".

Divisors: 1 2 11 22 29 58 61 103 122 157 206 314 319 389 638 671 778 1133 1342 1727 1769 2266 2987 3454 3538 4279 4553 5974 6283 8558 9106 9577 11281 12566 16171 19154 19459 22562 23729 32342 32857 38918 40067 47458 50083 61073 65714 69113 80134 100166 105347 122146 124091 138226 177881 182207 210694 248182 261019 277733 355762 364414 440737 468959 522038 555466 671803 688141 881474 937918 986431 1161943 1343606 1376282 1771117 1972862 2004277 2323886 2444087 3055063 3542234 3725453 4008554 4888174 5158549 6110126 6290519 7450906 7569551 10317098 10850741 12581038 12781373 15139102 19482287 21701482 25562746 26884957 28606499 38964574 40979983 53769914 57212998 69195709 70878523 81959966 108038137 138391418 141757046 182425051 216076274 314671489 364850102 383721659 629342978 767443318 779663753 1188419507 1559327506 2006675561 2376839014 4013351122 4220938249 8441876498 11127928111 22255856222 122407209221 244814418442