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413104331120 = 24513735441311
BaseRepresentation
bin1100000001011101110…
…11111101100101110000
31110111021221200100211212
412000232323331211300
523232014202043440
6513435535255252
741563052610005
oct6005673754560
91414257610755
10413104331120
1114a218697318
126808b97a528
132cc5650c020
1415dcc7298ac
15ab2c0a8465
hex602eefd970

413104331120 has 80 divisors (see below), whose sum is σ = 1048519057152. Its totient is φ = 150441338880.

The previous prime is 413104331093. The next prime is 413104331183. The reversal of 413104331120 is 21133401314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644736 + ... + 2796575.

Almost surely, 2413104331120 is an apocalyptic number.

413104331120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413104331120 is an abundant number, since it is smaller than the sum of its proper divisors (635414726032).

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

413104331120 is a wasteful number, since it uses less digits than its factorization.

413104331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441410 (or 5441404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 413104331120 its reverse (21133401314), we get a palindrome (434237732434).

The spelling of 413104331120 in words is "four hundred thirteen billion, one hundred four million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 37960 75920 5441311 10882622 21765244 27206555 43530488 54413110 70737043 87060976 108826220 141474086 217652440 282948172 353685215 397215703 435304880 565896344 707370430 794431406 1131792688 1414740860 1588862812 1986078515 2829481720 3177725624 3972157030 5163804139 5658963440 6355451248 7944314060 10327608278 15888628120 20655216556 25819020695 31777256240 41310433112 51638041390 82620866224 103276082780 206552165560 413104331120