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32313434420352 = 273409401951193
BaseRepresentation
bin1110101100011100011101…
…10001111011010010000000
311020102010121210200220100110
413112032032301323102000
513213410403202422402
6152420330431351320
76543366012455121
oct726161661732200
9136363553626313
1032313434420352
11a329061358a78
12375a687982540
1315051b3ba7477
147d9d9b2ac048
153b082eac956c
hex1d638ec7b480

32313434420352 has 128 divisors (see below), whose sum is σ = 86065509816000. Its totient is φ = 10741926150144.

The previous prime is 32313434420347. The next prime is 32313434420417. The reversal of 32313434420352 is 25302443431323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 32313434420352.

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, 631182468 + ... + 631233660.

Almost surely, 232313434420352 is an apocalyptic number.

32313434420352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313434420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43032754908000).

32313434420352 is an abundant number, since it is smaller than the sum of its proper divisors (53752075395648).

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

32313434420352 is a wasteful number, since it uses less digits than its factorization.

32313434420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55638 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 32313434420352 its reverse (25302443431323), we get a palindrome (57615877851675).

The spelling of 32313434420352 in words is "thirty-two trillion, three hundred thirteen billion, four hundred thirty-four million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 818 1227 1636 2454 3272 4019 4908 6544 8038 9816 12057 13088 16076 19632 24114 26176 32152 39264 48228 51193 52352 64304 78528 96456 102386 128608 153579 157056 192912 204772 257216 307158 385824 409544 514432 614316 771648 819088 1228632 1543296 1638176 1643771 2457264 3276352 3287542 4914528 4931313 6552704 6575084 9829056 9862626 13150168 19658112 19725252 20937937 26300336 39450504 41875874 52600672 62813811 78901008 83751748 105201344 125627622 157802016 167503496 205744667 210402688 251255244 315604032 335006992 411489334 502510488 617234001 631208064 670013984 822978668 1005020976 1234468002 1340027968 1645957336 2010041952 2468936004 2680055936 3291914672 4020083904 4937872008 6583829344 8040167808 9875744016 13167658688 19751488032 26335317376 39502976064 79005952128 84149568803 168299137606 252448706409 336598275212 504897412818 673196550424 1009794825636 1346393100848 2019589651272 2692786201696 4039179302544 5385572403392 8078358605088 10771144806784 16156717210176 32313434420352