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4014142311032 = 23717193154314159
BaseRepresentation
bin111010011010011101100…
…001101100101001111000
3112012202012110221112112122
4322122131201230221320
51011231430412423112
612312023240500412
7563004121445450
oct72323541545170
915182173845478
104014142311032
11130842a760227
12549b7417a708
132316bba43809
14dc3dd69cd60
156e63c84e872
hex3a69d86ca78

4014142311032 has 128 divisors (see below), whose sum is σ = 9161488281600. Its totient is φ = 1609602859008.

The previous prime is 4014142311019. The next prime is 4014142311043. The reversal of 4014142311032 is 2301132414104.

It is a super-2 number, since 2×40141423110322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014142310992 and 4014142311010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283497569 + ... + 283511727.

It is an arithmetic number, because the mean of its divisors is an integer number (71574127200).

Almost surely, 24014142311032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014142311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580744140800).

4014142311032 is an abundant number, since it is smaller than the sum of its proper divisors (5147345970568).

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

4014142311032 is a wasteful number, since it uses less digits than its factorization.

4014142311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15925 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4014142311032 its reverse (2301132414104), we get a palindrome (6315274725136).

The spelling of 4014142311032 in words is "four trillion, fourteen billion, one hundred forty-two million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 193 238 386 476 772 952 1351 1543 1544 2702 3086 3281 5404 6172 6562 10801 10808 12344 13124 14159 21602 22967 26231 26248 28318 43204 45934 52462 56636 86408 91868 99113 104924 113272 183617 183736 198226 209848 240703 297799 367234 396452 481406 595598 734468 792904 962812 1191196 1468936 1684921 1925624 2084593 2382392 2732687 3369842 4169186 5062583 5465374 6739684 8338372 10125166 10930748 13479368 16676744 19128809 20250332 21847337 21861496 35438081 38257618 40500664 43694674 46455679 70876162 76515236 87389348 92911358 141752324 152931359 153030472 174778696 185822716 283504648 305862718 325189753 371404729 371645432 611725436 650379506 742809458 1223450872 1300759012 1485618916 2599833103 2601518024 2971237832 4216536041 5199666206 8433072082 10399332412 16866144164 20798664824 29515752287 33732288328 59031504574 71681112697 118063009148 143362225394 236126018296 286724450788 501767788879 573448901576 1003535577758 2007071155516 4014142311032