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421102357776 = 243217231812
BaseRepresentation
bin1100010000010111010…
…10000000110100010000
31111020221100101012211100
412020023222000310100
523344404200422101
6521241324544400
742265210660662
oct6101352006420
91436840335740
10421102357776
11152652337101
12697423b2100
133092c510b89
141654aa3c532
15ae49313e86
hex620ba80d10

421102357776 has 135 divisors (see below), whose sum is σ = 1252296909903. Its totient is φ = 132069012480.

The previous prime is 421102357757. The next prime is 421102357787. The reversal of 421102357776 is 677753201124.

The square root of 421102357776 is 648924.

It is a perfect power (a square), and thus also a powerful number.

421102357776 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 0 + 2 + 3 + 577 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18862275600 + 402240082176 = 137340^2 + 634224^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 132378906 + ... + 132382086.

Almost surely, 2421102357776 is an apocalyptic number.

421102357776 is the 648924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421102357776

421102357776 is an abundant number, since it is smaller than the sum of its proper divisors (831194552127).

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

421102357776 is an equidigital number, since it uses as much as digits as its factorization.

421102357776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 421102357776 in words is "four hundred twenty-one billion, one hundred two million, three hundred fifty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3181 3468 4624 5202 6362 6936 9543 10404 12724 13872 19086 20808 25448 28629 38172 41616 50896 54077 57258 76344 108154 114516 152688 162231 216308 229032 324462 432616 458064 486693 648924 865232 919309 973386 1297848 1838618 1946772 2595696 2757927 3677236 3893544 5515854 7354472 7787088 8273781 10118761 11031708 14708944 16547562 20237522 22063416 30356283 33095124 40475044 44126832 60712566 66190248 80950088 91068849 121425132 132380496 161900176 172018937 182137698 242850264 344037874 364275396 485700528 516056811 688075748 728550792 1032113622 1376151496 1457101584 1548170433 2064227244 2752302992 2924321929 3096340866 4128454488 5848643858 6192681732 8256908976 8772965787 11697287716 12385363464 17545931574 23394575432 24770726928 26318897361 35091863148 46789150864 52637794722 70183726296 105275589444 140367452592 210551178888 421102357776