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144429872874 = 2372619778243
BaseRepresentation
bin1000011010000010110…
…0001111011011101010
3111210210120021201220220
42012200230033123222
54331243021412444
6150203345230510
713302051443400
oct2064054173352
9453716251826
10144429872874
1156285997201
1223ba9332436
1310809584151
146dc1ac1470
153b54aab619
hex21a0b0f6ea

144429872874 has 96 divisors (see below), whose sum is σ = 341920097856. Its totient is φ = 40542727680.

The previous prime is 144429872869. The next prime is 144429872887. The reversal of 144429872874 is 478278924441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17517397 + ... + 17525639.

It is an arithmetic number, because the mean of its divisors is an integer number (3561667686).

Almost surely, 2144429872874 is an apocalyptic number.

144429872874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144429872874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170960048928).

144429872874 is an abundant number, since it is smaller than the sum of its proper divisors (197490224982).

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

144429872874 is a wasteful number, since it uses less digits than its factorization.

144429872874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9293 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The spelling of 144429872874 in words is "one hundred forty-four billion, four hundred twenty-nine million, eight hundred seventy-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 977 1281 1954 2562 2931 2989 5862 5978 6839 8243 8967 13678 16486 17934 20517 24729 41034 47873 49458 57701 59597 95746 115402 119194 143619 173103 178791 287238 346206 357582 403907 417179 502823 807814 834358 1005646 1211721 1251537 1508469 2423442 2503074 2920253 3016938 3519761 5840506 7039522 8053411 8760759 10559283 16106822 17521518 21118566 24160233 24638327 48320466 49276654 56373877 73914981 112747754 147829962 169121631 338243262 394617139 491258071 789234278 982516142 1183851417 1473774213 2367702834 2947548426 3438806497 6877612994 10316419491 20632838982 24071645479 48143290958 72214936437 144429872874