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400231151122041 = 3316079224253869
BaseRepresentation
bin101101100000000100001001…
…1100101110011011001111001
31221111002201120001212202121000
41123000020103211303121321
5404424341344141401131
63535115352541435213
7150205514013021201
oct13300102345633171
91844081501782530
10400231151122041
11106587094892958
1238a7b58a86bb09
1314242835571a05
1470b94109bd401
153140de62aece6
hex16c0213973679

400231151122041 has 16 divisors (see below), whose sum is σ = 593304008918400. Its totient is φ = 266654730816144.

The previous prime is 400231151122039. The next prime is 400231151122073. The reversal of 400231151122041 is 140221151132004.

400231151122041 is a `hidden beast` number, since 40 + 0 + 2 + 311 + 51 + 1 + 220 + 41 = 666.

It is not a de Polignac number, because 400231151122041 - 21 = 400231151122039 is a prime.

It is a super-3 number, since 3×4002311511220413 (a number of 45 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 400231151121996 and 400231151122014.

It is not an unprimeable number, because it can be changed into a prime (400231151122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612083546 + ... + 4612170323.

It is an arithmetic number, because the mean of its divisors is an integer number (37081500557400).

Almost surely, 2400231151122041 is an apocalyptic number.

It is an amenable number.

400231151122041 is a deficient number, since it is larger than the sum of its proper divisors (193072857796359).

400231151122041 is a wasteful number, since it uses less digits than its factorization.

400231151122041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224255485 (or 9224255479 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 400231151122041 in words is "four hundred trillion, two hundred thirty-one billion, one hundred fifty-one million, one hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 27 1607 4821 14463 43389 9224253869 27672761607 83018284821 249054854463 14823375967483 44470127902449 133410383707347 400231151122041