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42023133132024 = 23311607262238113
BaseRepresentation
bin10011000111000010001011…
…11011000011010011111000
312111210101001101211201200010
421203201011323003103320
521002001334040211044
6225213054424341520
711565033261655302
oct1143410573032370
9174711041751603
1042023133132024
1112431a02126390
1248684463148a0
131a5a9c2662225
14a53d053d0972
154cd1b8a55bb9
hex263845ec34f8

42023133132024 has 64 divisors (see below), whose sum is σ = 114797356784640. Its totient is φ = 12713303669760.

The previous prime is 42023133131957. The next prime is 42023133132031.

It is a happy number.

42023133132024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42023133131982 and 42023133132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130958809 + ... + 131279304.

It is an arithmetic number, because the mean of its divisors is an integer number (1793708699760).

Almost surely, 242023133132024 is an apocalyptic number.

42023133132024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42023133132024 is an abundant number, since it is smaller than the sum of its proper divisors (72774223652616).

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

42023133132024 is a wasteful number, since it uses less digits than its factorization.

42023133132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262238740 (or 262238736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4202313 and 3132024, that added together give a palindrome (7334337).

The spelling of 42023133132024 in words is "forty-two trillion, twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 607 1214 1821 2428 3642 4856 6677 7284 13354 14568 20031 26708 40062 53416 80124 160248 262238113 524476226 786714339 1048952452 1573428678 2097904904 2884619243 3146857356 5769238486 6293714712 8653857729 11538476972 17307715458 23076953944 34615430916 69230861832 159178534591 318357069182 477535603773 636714138364 955071207546 1273428276728 1750963880501 1910142415092 3501927761002 3820284830184 5252891641503 7003855522004 10505783283006 14007711044008 21011566566012 42023133132024