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42022311322024 = 23111925132961317
BaseRepresentation
bin10011000111000000101001…
…11100000110000110101000
312111210021221010110110021201
421203200110330012012220
521001443143144301044
6225212441110213544
711565004022463625
oct1143402474060650
9174707833413251
1042022311322024
1112431620249370
1248682570542b4
131a5a8c1314117
14a53c681c934c
154cd16b8217d4
hex263814f061a8

42022311322024 has 32 divisors (see below), whose sum is σ = 90478660744800. Its totient is φ = 18095732147520.

The previous prime is 42022311321953. The next prime is 42022311322031.

42022311322024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42022311321983 and 42022311322001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12566478987 + ... + 12566482330.

It is an arithmetic number, because the mean of its divisors is an integer number (2827458148275).

Almost surely, 242022311322024 is an apocalyptic number.

42022311322024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42022311322024 is an abundant number, since it is smaller than the sum of its proper divisors (48456349422776).

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

42022311322024 is a wasteful number, since it uses less digits than its factorization.

42022311322024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132961353 (or 25132961349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4202231 and 1322024, that added together give a palindrome (5524255).

The spelling of 42022311322024 in words is "forty-two trillion, twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 25132961317 50265922634 100531845268 201063690536 276462574487 477526265023 552925148974 955052530046 1105850297948 1910105060092 2211700595896 3820210120184 5252788915253 10505577830506 21011155661012 42022311322024