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406144335650641 = 71031102535488741
BaseRepresentation
bin101110001011000101101100…
…0110110101001111101010001
31222021001000112001210102100121
41130112023120312221331101
5411213232044411310031
63555444044303550241
7151355650153140640
oct13426133066517521
91867030461712317
10406144335650641
1110845693334a735
12396755b02bb381
1314581328791c93
1472416c27cd357
1531e4b2d760011
hex17162d8da9f51

406144335650641 has 16 divisors (see below), whose sum is σ = 464660563223808. Its totient is φ = 347752076126400.

The previous prime is 406144335650621. The next prime is 406144335650671. The reversal of 406144335650641 is 146056533441604.

It is a cyclic number.

It is not a de Polignac number, because 406144335650641 - 215 = 406144335617873 is a prime.

It is a super-2 number, since 2×4061443356506412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406144335650621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71251531 + ... + 76740271.

It is an arithmetic number, because the mean of its divisors is an integer number (29041285201488).

Almost surely, 2406144335650641 is an apocalyptic number.

It is an amenable number.

406144335650641 is a deficient number, since it is larger than the sum of its proper divisors (58516227573167).

406144335650641 is a wasteful number, since it uses less digits than its factorization.

406144335650641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500032.

The product of its (nonzero) digits is 12441600, while the sum is 52.

The spelling of 406144335650641 in words is "four hundred six trillion, one hundred forty-four billion, three hundred thirty-five million, six hundred fifty thousand, six hundred forty-one".

Divisors: 1 7 1031 7217 10253 71771 5488741 10570843 38421187 73995901 5658891971 39612243797 56276061473 393932430311 58020619378663 406144335650641