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401405310524031 = 311315315747155457
BaseRepresentation
bin101101101000100110111010…
…0111100011101101001111111
31221122020222021020221111001220
41123101031310330131221333
5410103111033443232111
63541415015352404423
7150356401536200622
oct13321156474355177
91848228236844056
10401405310524031
1110699a0441a3220
123902b0563a6713
13142c9487427528
14711a199267db9
1531617175d1e06
hex16d1374f1da7f

401405310524031 has 64 divisors (see below), whose sum is σ = 617979444719616. Its totient is φ = 229515035443200.

The previous prime is 401405310524011. The next prime is 401405310524059. The reversal of 401405310524031 is 130425013504104.

It is not a de Polignac number, because 401405310524031 - 211 = 401405310521983 is a prime.

It is a super-2 number, since 2×4014053105240312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 401405310523983 and 401405310524001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401405310524011) 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, 15065346 + ... + 32090111.

It is an arithmetic number, because the mean of its divisors is an integer number (9655928823744).

Almost surely, 2401405310524031 is an apocalyptic number.

401405310524031 is a deficient number, since it is larger than the sum of its proper divisors (216574134195585).

401405310524031 is a wasteful number, since it uses less digits than its factorization.

401405310524031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47155712.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 401405310524031 in words is "four hundred one trillion, four hundred five billion, three hundred ten million, five hundred twenty-four thousand, thirty-one".

Divisors: 1 3 11 31 33 53 93 157 159 341 471 583 1023 1643 1727 1749 4867 4929 5181 8321 14601 18073 24963 53537 54219 91531 160611 257951 274593 773853 2837461 8512383 47155457 141466371 518710027 1461819167 1556130081 2499239221 4385457501 7403406749 7497717663 16080010837 22210220247 27491631431 48240032511 77476415851 81437474239 82474894293 229505609219 232429247553 244312422717 392380557697 688516827657 852240574361 1177141673091 2524561701409 2556721723083 4316186134667 7573685104227 12163797288607 12948558404001 36491391865821 133801770174677 401405310524031