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32113214144 = 2611240910139
BaseRepresentation
bin11101111010000110…
…001100001011000000
310001220000200022012122
4131322012030023000
51011231440323034
622430321343412
72214536550014
oct357206141300
9101800608178
1032113214144
111268a088100
126282797b68
13304a12b77b
1417a8d74544
15c7e40162e
hex77a18c2c0

32113214144 has 84 divisors (see below), whose sum is σ = 70222643400. Its totient is φ = 14559790080.

The previous prime is 32113214141. The next prime is 32113214191. The reversal of 32113214144 is 44141231123.

It is not an unprimeable number, because it can be changed into a prime (32113214141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3162227 + ... + 3172365.

It is an arithmetic number, because the mean of its divisors is an integer number (835983850).

Almost surely, 232113214144 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 32113214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35111321700).

32113214144 is an abundant number, since it is smaller than the sum of its proper divisors (38109429256).

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

32113214144 is a wasteful number, since it uses less digits than its factorization.

32113214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10561 counting only the distinct ones).

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

Adding to 32113214144 its reverse (44141231123), we get a palindrome (76254445267).

The spelling of 32113214144 in words is "thirty-two billion, one hundred thirteen million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 409 484 704 818 968 1636 1936 3272 3872 4499 6544 7744 8998 10139 13088 17996 20278 26176 35992 40556 49489 71984 81112 98978 111529 143968 162224 197956 223058 287936 324448 395912 446116 648896 791824 892232 1226819 1583648 1784464 2453638 3167296 3568928 4146851 4907276 7137856 8293702 9814552 16587404 19629104 33174808 39258208 45615361 66349616 78516416 91230722 132699232 182461444 265398464 364922888 501768971 729845776 1003537942 1459691552 2007075884 2919383104 4014151768 8028303536 16056607072 32113214144