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421400572914096 = 2435894112122237
BaseRepresentation
bin101111111010000101111011…
…1011101001110100110110000
32001021001111112110202110200000
41133310023313131032212300
5420213211333131222341
64052124430051230000
7154522121015212626
oct13764136735164660
92037044473673600
10421400572914096
111122a8a85579846
123b31a3072a8300
1315119b9903c779
14760bc7a207516
1533ab8e15918b6
hex17f42f774e9b0

421400572914096 has 120 divisors (see below), whose sum is σ = 1223152336979664. Its totient is φ = 140451135632640.

The previous prime is 421400572914091. The next prime is 421400572914103. The reversal of 421400572914096 is 690419275004124.

421400572914096 is a `hidden beast` number, since 4 + 2 + 1 + 400 + 5 + 7 + 2 + 9 + 140 + 96 = 666.

It is a super-2 number, since 2×4214005729140962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (421400572914091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28701490 + ... + 40823726.

Almost surely, 2421400572914096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421400572914096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611576168489832).

421400572914096 is an abundant number, since it is smaller than the sum of its proper divisors (801751764065568).

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

421400572914096 is a wasteful number, since it uses less digits than its factorization.

421400572914096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131201 (or 12131183 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 421400572914096 in words is "four hundred twenty-one trillion, four hundred billion, five hundred seventy-two million, nine hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 8941 17882 26823 35764 53646 71528 80469 107292 143056 160938 214584 241407 321876 429168 482814 643752 724221 965628 1287504 1448442 1931256 2172663 2896884 3862512 4345326 5793768 8690652 11587536 12122237 17381304 24244474 34762608 36366711 48488948 72733422 96977896 109100133 145466844 193955792 218200266 290933688 327300399 436400532 581867376 654600798 872801064 981901197 1309201596 1745602128 1963802394 2618403192 2945703591 3927604788 5236806384 5891407182 7855209576 11782814364 15710419152 23565628728 47131257456 108384921017 216769842034 325154763051 433539684068 650309526102 867079368136 975464289153 1300619052204 1734158736272 1950928578306 2601238104408 2926392867459 3901857156612 5202476208816 5852785734918 7803714313224 8779178602377 11705571469836 15607428626448 17558357204754 23411142939672 26337535807131 35116714409508 46822285879344 52675071614262 70233428819016 105350143228524 140466857638032 210700286457048 421400572914096