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14293208440 = 2357314140163
BaseRepresentation
bin11010100111111000…
…10000110101111000
31100220010012012221101
431103330100311320
5213233030132230
610322145021144
71014125160430
oct152374206570
940803165841
1014293208440
116075164065
12292a9247b4
13146a29c5b4
149983dd2c0
15589c4eaca
hex353f10d78

14293208440 has 128 divisors (see below), whose sum is σ = 38865899520. Its totient is φ = 4626662400.

The previous prime is 14293208411. The next prime is 14293208467. The reversal of 14293208440 is 4480239241.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14293208440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335799 + ... + 375961.

It is an arithmetic number, because the mean of its divisors is an integer number (303639840).

Almost surely, 214293208440 is an apocalyptic number.

14293208440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14293208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432949760).

14293208440 is an abundant number, since it is smaller than the sum of its proper divisors (24572691080).

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

14293208440 is a wasteful number, since it uses less digits than its factorization.

14293208440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40253 (or 40249 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 14293208440 in words is "fourteen billion, two hundred ninety-three million, two hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 62 70 82 124 140 155 164 205 217 248 280 287 310 328 410 434 574 620 820 868 1085 1148 1240 1271 1435 1640 1736 2170 2296 2542 2870 4340 5084 5740 6355 8680 8897 10168 11480 12710 17794 25420 35588 40163 44485 50840 71176 80326 88970 160652 177940 200815 281141 321304 355880 401630 562282 803260 1124564 1245053 1405705 1606520 1646683 2249128 2490106 2811410 3293366 4980212 5622820 6225265 6586732 8233415 8715371 9960424 11245640 11526781 12450530 13173464 16466830 17430742 23053562 24901060 32933660 34861484 43576855 46107124 49802120 51047173 57633905 65867320 69722968 87153710 92214248 102094346 115267810 174307420 204188692 230535620 255235865 348614840 357330211 408377384 461071240 510471730 714660422 1020943460 1429320844 1786651055 2041886920 2858641688 3573302110 7146604220 14293208440