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14402790990 = 2325727941341
BaseRepresentation
bin11010110100111100…
…10010011001001110
31101011202101120221100
431122132102121032
5213444103302430
610341101443530
71016625463200
oct153236223116
941152346840
1014402790990
116121000055
12295b5705a6
131486bb9943
149a8ba6770
15594698960
hex35a79264e

14402790990 has 144 divisors (see below), whose sum is σ = 44113567680. Its totient is φ = 3250316160.

The previous prime is 14402790953. The next prime is 14402791009. The reversal of 14402790990 is 9909720441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327720 + ... + 369060.

It is an arithmetic number, because the mean of its divisors is an integer number (306344220).

Almost surely, 214402790990 is an apocalyptic number.

14402790990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402790990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056783840).

14402790990 is an abundant number, since it is smaller than the sum of its proper divisors (29710776690).

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

14402790990 is a wasteful number, since it uses less digits than its factorization.

14402790990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41447 (or 41437 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 14402790990 in words is "fourteen billion, four hundred two million, seven hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 79 90 98 105 126 147 158 210 237 245 294 315 395 441 474 490 553 630 711 735 790 882 1106 1185 1422 1470 1659 2205 2370 2765 3318 3555 3871 4410 4977 5530 7110 7742 8295 9954 11613 16590 19355 23226 24885 34839 38710 41341 49770 58065 69678 82682 116130 124023 174195 206705 248046 289387 348390 372069 413410 578774 620115 744138 868161 1240230 1446935 1736322 1860345 2025709 2604483 2893870 3265939 3720690 4051418 4340805 5208966 6077127 6531878 8681610 9797817 10128545 12154254 13022415 16329695 18231381 19595634 20257090 22861573 26044830 29393451 30385635 32659390 36462762 45723146 48989085 58786902 60771270 68584719 91156905 97978170 114307865 137169438 146967255 160031011 182313810 205754157 228615730 293934510 320062022 342923595 411508314 480093033 685847190 800155055 960186066 1028770785 1440279099 1600310110 2057541570 2400465165 2880558198 4800930330 7201395495 14402790990