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400200324410096 = 24761914294039583
BaseRepresentation
bin101101011111110101110011…
…0001011001110101011110000
31221110222202222200222112121222
41122333223212023032223300
5404423340231022110341
63535053254014204212
7150203343054213350
oct13277534613165360
91843882880875558
10400200324410096
11106575005a23a11
1238a75606ab3668
131423c961b33562
1470b7b28854b60
1531401decd444b
hex16bfae62ceaf0

400200324410096 has 80 divisors (see below), whose sum is σ = 888210803251200. Its totient is φ = 171117469119744.

The previous prime is 400200324410041. The next prime is 400200324410111. The reversal of 400200324410096 is 690014423002004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97049921 + ... + 101089503.

It is an arithmetic number, because the mean of its divisors is an integer number (11102635040640).

Almost surely, 2400200324410096 is an apocalyptic number.

It is an amenable number.

400200324410096 is an abundant number, since it is smaller than the sum of its proper divisors (488010478841104).

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

400200324410096 is a wasteful number, since it uses less digits than its factorization.

400200324410096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041646 (or 4041640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 400200324410096 in words is "four hundred trillion, two hundred billion, three hundred twenty-four million, four hundred ten thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 619 1238 1429 2476 2858 4333 4952 5716 8666 9904 10003 11432 17332 20006 22864 34664 40012 69328 80024 160048 884551 1769102 3538204 4039583 6191857 7076408 8079166 12383714 14152816 16158332 24767428 28277081 32316664 49534856 56554162 64633328 99069712 113108324 226216648 452433296 2500501877 5001003754 5772564107 10002007508 11545128214 17503513139 20004015016 23090256428 35007026278 40008030032 40407948749 46180512856 70014052556 80815897498 92361025712 140028105112 161631794996 280056210224 323263589992 646527179984 3573217182233 7146434364466 14292868728932 25012520275631 28585737457864 50025040551262 57171474915728 100050081102524 200100162205048 400200324410096