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1414102333424 = 2411231157150077
BaseRepresentation
bin10100100100111111000…
…100010011011111110000
312000012001020000120010012
4110210333010103133300
5141132040144132144
63001344000354052
7204110526336524
oct24447704233760
95005036016105
101414102333424
114a57989a1100
121aa090015928
13a3470495671
144c62b51dd84
1526bb6258e9e
hex1493f1137f0

1414102333424 has 120 divisors (see below), whose sum is σ = 3128509179264. Its totient is φ = 618072998400.

The previous prime is 1414102333379. The next prime is 1414102333429. The reversal of 1414102333424 is 4243332014141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414102333429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9347474 + ... + 9497550.

Almost surely, 21414102333424 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 1414102333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564254589632).

1414102333424 is an abundant number, since it is smaller than the sum of its proper divisors (1714406845840).

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

1414102333424 is a wasteful number, since it uses less digits than its factorization.

1414102333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150295 (or 150278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1414102333424 its reverse (4243332014141), we get a palindrome (5657434347565).

The spelling of 1414102333424 in words is "one trillion, four hundred fourteen billion, one hundred two million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 157 176 242 248 314 341 484 496 628 682 968 1256 1364 1727 1936 2512 2728 3454 3751 4867 5456 6908 7502 9734 13816 15004 18997 19468 27632 30008 37994 38936 53537 60016 75988 77872 107074 150077 151976 214148 300154 303952 428296 588907 600308 856592 1177814 1200616 1650847 2355628 2401232 3301694 4652387 4711256 6603388 9304774 9422512 13206776 18159317 18609548 23562089 26413552 36318634 37219096 47124178 51176257 72637268 74438192 94248356 102352514 145274536 188496712 204705028 259182979 290549072 376993424 409410056 518365958 562938827 730424759 818820112 1036731916 1125877654 1460849518 2073463832 2251755308 2851012769 2921699036 4146927664 4503510616 5702025538 5843398072 8034672349 9007021232 11404051076 11686796144 16069344698 22808102152 32138689396 45616204304 64277378792 88381395839 128554757584 176762791678 353525583356 707051166712 1414102333424