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412242010401 = 313971392413253
BaseRepresentation
bin1011111111110111000…
…10011110000100100001
31110102001212001221012110
411333323202132010201
523223232423313101
6513214212545533
741532512162304
oct5777342360441
91412055057173
10412242010401
1114991595aa71
1267a8b0222a9
132cb49978a90
1415d49dbab3b
15aacb520cd6
hex5ffb89e121

412242010401 has 64 divisors (see below), whose sum is σ = 605027413760. Its totient is φ = 248155176960.

The previous prime is 412242010393. The next prime is 412242010441. The reversal of 412242010401 is 104010242214.

It is not a de Polignac number, because 412242010401 - 23 = 412242010393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412242010441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126725091 + ... + 126728343.

It is an arithmetic number, because the mean of its divisors is an integer number (9453553340).

Almost surely, 2412242010401 is an apocalyptic number.

It is an amenable number.

412242010401 is a deficient number, since it is larger than the sum of its proper divisors (192785403359).

412242010401 is a wasteful number, since it uses less digits than its factorization.

412242010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 412242010401 its reverse (104010242214), we get a palindrome (516252252615).

The spelling of 412242010401 in words is "four hundred twelve billion, two hundred forty-two million, ten thousand, four hundred one".

Divisors: 1 3 13 39 97 139 241 291 417 723 1261 1807 3133 3253 3783 5421 9399 9759 13483 23377 33499 40449 42289 70131 100497 126867 175279 303901 315541 435487 452167 525837 783973 911703 946623 1306461 1356501 2351919 3249403 4102033 5878171 9748209 10191649 12306099 17634513 30574947 42242239 43860199 76045381 108972247 126726717 131580597 228136143 326916741 570182587 988589953 1416639211 1710547761 2965769859 4249917633 10570307959 31710923877 137414003467 412242010401