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410424242112 = 2634278928387
BaseRepresentation
bin1011111100011110011…
…00001110111111000000
31110020101011121201220000
411332033030032333000
523211022101221422
6512313555520000
741436460332303
oct5761714167700
91406334551800
10410424242112
1114907286a825
12676622b9000
132c91a1a7341
1415c167dab3a
15aa21b57cac
hex5f8f30efc0

410424242112 has 140 divisors (see below), whose sum is σ = 1217105124840. Its totient is φ = 136754210304.

The previous prime is 410424242051. The next prime is 410424242147. The reversal of 410424242112 is 211242424014.

410424242112 is a `hidden beast` number, since 4 + 1 + 0 + 424 + 24 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14443983 + ... + 14472369.

Almost surely, 2410424242112 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 410424242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608552562420).

410424242112 is an abundant number, since it is smaller than the sum of its proper divisors (806680882728).

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

410424242112 is a wasteful number, since it uses less digits than its factorization.

410424242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31181 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 410424242112 its reverse (211242424014), we get a palindrome (621666666126).

The spelling of 410424242112 in words is "four hundred ten billion, four hundred twenty-four million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 2789 5184 5578 8367 11156 16734 22312 25101 28387 33468 44624 50202 56774 66936 75303 85161 89248 100404 113548 133872 150606 170322 178496 200808 225909 227096 255483 267744 301212 340644 401616 451818 454192 510966 535488 602424 681288 766449 803232 903636 908384 1021932 1204848 1362576 1532898 1606464 1807272 1816768 2043864 2299347 2409696 2725152 3065796 3614544 4087728 4598694 4819392 5450304 6131592 7229088 8175456 9197388 12263184 14458176 16350912 18394776 24526368 36789552 49052736 73579104 79171343 147158208 158342686 237514029 316685372 475028058 633370744 712542087 950056116 1266741488 1425084174 1900112232 2137626261 2533482976 2850168348 3800224464 4275252522 5066965952 5700336696 6412878783 7600448928 8550505044 11400673392 12825757566 15200897856 17101010088 22801346784 25651515132 34202020176 45602693568 51303030264 68404040352 102606060528 136808080704 205212121056 410424242112