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1418370954 = 2372112133067
BaseRepresentation
bin101010010001010…
…1001111110001010
310122211220201011120
41110202221332022
510401100332304
6352424340110
750101645200
oct12442517612
93584821146
101418370954
116686a7100
12337014636
13197b11570
14d6535070
15847c30d9
hex548a9f8a

1418370954 has 144 divisors (see below), whose sum is σ = 3907429344. Its totient is φ = 339958080.

The previous prime is 1418370917. The next prime is 1418370971. The reversal of 1418370954 is 4590738141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 460929 + ... + 463995.

It is an arithmetic number, because the mean of its divisors is an integer number (27134926).

Almost surely, 21418370954 is an apocalyptic number.

1418370954 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 1418370954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953714672).

1418370954 is an abundant number, since it is smaller than the sum of its proper divisors (2489058390).

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

1418370954 is a wasteful number, since it uses less digits than its factorization.

1418370954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1418370954 is about 37661.2659638520. The cubic root of 1418370954 is about 1123.5608802328.

The spelling of 1418370954 in words is "one billion, four hundred eighteen million, three hundred seventy thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 121 143 147 154 182 231 242 273 286 294 363 429 462 539 546 637 726 847 858 1001 1078 1274 1573 1617 1694 1911 2002 2541 3003 3067 3146 3234 3822 4719 5082 5929 6006 6134 7007 9201 9438 11011 11858 14014 17787 18402 21021 21469 22022 33033 33737 35574 39871 42042 42938 64407 66066 67474 77077 79742 101211 119613 128814 150283 154154 202422 231231 236159 239226 279097 300566 371107 438581 450849 462462 472318 558194 708477 742214 837291 877162 901698 1113321 1315743 1416954 1653113 1674582 1953679 2226642 2597749 2631486 3070067 3306226 3907358 4824391 4959339 5195498 5861037 6140134 7793247 9210201 9648782 9918678 11722074 14473173 15586494 18184243 18420402 21490469 28946346 33770737 36368486 42980938 54552729 64471407 67541474 101312211 109105458 128942814 202624422 236395159 472790318 709185477 1418370954