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21412423440 = 2433517583127
BaseRepresentation
bin10011111100010001…
…111010011100010000
32001021021020210222000
4103330101322130100
5322323040022230
613500422314000
71355422411332
oct237421723420
961237223860
1021412423440
119098833721
124196b88900
1320331b6055
141071b0d452
15854c66b60
hex4fc47a710

21412423440 has 160 divisors (see below), whose sum is σ = 78092501760. Its totient is φ = 5374089216.

The previous prime is 21412423427. The next prime is 21412423463. The reversal of 21412423440 is 4432421412.

21412423440 is a `hidden beast` number, since 214 + 1 + 2 + 4 + 2 + 3 + 440 = 666.

It is a super-2 number, since 2×214124234402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254844 + ... + 328283.

It is an arithmetic number, because the mean of its divisors is an integer number (488078136).

Almost surely, 221412423440 is an apocalyptic number.

21412423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21412423440 is an abundant number, since it is smaller than the sum of its proper divisors (56680078320).

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

21412423440 is a wasteful number, since it uses less digits than its factorization.

21412423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583166 (or 583154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21412423440 its reverse (4432421412), we get a palindrome (25844844852).

The spelling of 21412423440 in words is "twenty-one billion, four hundred twelve million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 583127 1166254 1749381 2332508 2915635 3498762 4665016 5248143 5831270 6997524 8746905 9330032 9913159 10496286 11662540 13995048 15744429 17493810 19826318 20992572 23325080 26240715 27990096 29739477 31488858 34987620 39652636 41985144 46650160 49565795 52481430 59478954 62977716 69975240 78722145 79305272 83970288 89218431 99131590 104962860 118957908 125955432 139950480 148697385 157444290 158610544 178436862 198263180 209925720 237915816 251910864 267655293 297394770 314888580 356873724 396526360 419851440 446092155 475831632 535310586 594789540 629777160 713747448 793052720 892184310 1070621172 1189579080 1259554320 1338276465 1427494896 1784368620 2141242344 2379158160 2676552930 3568737240 4282484688 5353105860 7137474480 10706211720 21412423440