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14241500240 = 2451143596379
BaseRepresentation
bin11010100001101110…
…00000110001010000
31100202111220011121212
431100313000301100
5213131311001430
610313100435252
71012626516602
oct152067006120
940674804555
1014241500240
116048a56a10
122915548b28
13145c666826
149915bd172
15585438b95
hex350dc0c50

14241500240 has 160 divisors (see below), whose sum is σ = 37594022400. Its totient is φ = 4971778560.

The previous prime is 14241500227. The next prime is 14241500243. The reversal of 14241500240 is 4200514241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241500243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229371 + ... + 2235749.

It is an arithmetic number, because the mean of its divisors is an integer number (234962640).

Almost surely, 214241500240 is an apocalyptic number.

14241500240 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 14241500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797011200).

14241500240 is an abundant number, since it is smaller than the sum of its proper divisors (23352522160).

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

14241500240 is a wasteful number, since it uses less digits than its factorization.

14241500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 14241500240 in words is "fourteen billion, two hundred forty-one million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 59 80 86 88 110 118 172 176 215 220 236 295 344 430 440 472 473 590 649 688 860 880 944 946 1180 1298 1720 1892 2360 2365 2537 2596 3245 3440 3784 4720 4730 5074 5192 6379 6490 7568 9460 10148 10384 12685 12758 12980 18920 20296 25370 25516 25960 27907 31895 37840 40592 50740 51032 51920 55814 63790 70169 101480 102064 111628 127580 139535 140338 202960 223256 255160 274297 279070 280676 350845 376361 446512 510320 548594 558140 561352 701690 752722 1097188 1116280 1122704 1371485 1403380 1505444 1881805 2194376 2232560 2742970 2806760 3010888 3017267 3763610 4139971 4388752 5485940 5613520 6021776 6034534 7527220 8279942 10971880 12069068 15054440 15086335 16183523 16559884 20699855 21943760 24138136 30108880 30172670 32367046 33119768 41399710 48276272 60345340 64734092 66239536 80917615 82799420 120690680 129468184 161835230 165598840 178018753 241381360 258936368 323670460 331197680 356037506 647340920 712075012 890093765 1294681840 1424150024 1780187530 2848300048 3560375060 7120750120 14241500240