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104121312432414 = 2323250370279281
BaseRepresentation
bin10111101011001010100001…
…110101110101000100011110
3111122122220022021202022112020
4113223022201311311010132
5102121410421440314124
61005240400503121010
730634342120621344
oct2753124165650436
9448586267668466
10104121312432414
11301a3667481852
12b8174a8a43166
13461379ccc7764
141b9d6d98d3994
15c0867aa79379
hex5eb2a1d7511e

104121312432414 has 96 divisors (see below), whose sum is σ = 218177635463424. Its totient is φ = 33123815070720.

The previous prime is 104121312432383. The next prime is 104121312432479. The reversal of 104121312432414 is 414234213121401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11218755454 + ... + 11218764734.

It is an arithmetic number, because the mean of its divisors is an integer number (2272683702744).

Almost surely, 2104121312432414 is an apocalyptic number.

104121312432414 is an abundant number, since it is smaller than the sum of its proper divisors (114056323031010).

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

104121312432414 is a wasteful number, since it uses less digits than its factorization.

104121312432414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 104121312432414 its reverse (414234213121401), we get a palindrome (518355525553815).

The spelling of 104121312432414 in words is "one hundred four trillion, one hundred twenty-one billion, three hundred twelve million, four hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 503 529 1006 1058 1509 1587 3018 3174 7027 9281 11569 14054 18562 21081 23138 27843 34707 42162 55686 69414 161621 213463 266087 323242 426926 484863 532174 640389 798261 969726 1280778 1596522 3534581 3717283 4668343 4909649 7069162 7434566 9336686 9819298 10603743 11151849 14005029 14728947 21207486 22303698 28010058 29457894 65217587 81295363 107371889 130435174 162590726 195652761 214743778 243886089 322115667 391305522 487772178 644231334 1500004501 1869793349 2469553447 3000009002 3739586698 4500013503 4939106894 5609380047 7408660341 9000027006 11218760094 14817320682 32804446261 34500103523 65608892522 69000207046 98413338783 103500310569 196826677566 207000621138 754502264003 1509004528006 2263506792009 4527013584018 17353552072069 34707104144138 52060656216207 104121312432414