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141434323104 = 25310398314551
BaseRepresentation
bin1000001110111000100…
…1001000000010100000
3111112001210122001011010
42003232021020002200
54304124141314404
6144550220220520
713134605624214
oct2035611100240
9445053561133
10141434323104
1154a88a96338
12234b209a740
131044ca9a3a9
146bb9d16944
153a2bae6189
hex20ee2480a0

141434323104 has 96 divisors (see below), whose sum is σ = 375276754944. Its totient is φ = 46636358400.

The previous prime is 141434323097. The next prime is 141434323123. The reversal of 141434323104 is 401323434141.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9712629 + ... + 9727179.

It is an arithmetic number, because the mean of its divisors is an integer number (3909132864).

Almost surely, 2141434323104 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 141434323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187638377472).

141434323104 is an abundant number, since it is smaller than the sum of its proper divisors (233842431840).

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

141434323104 is a wasteful number, since it uses less digits than its factorization.

141434323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 15642 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 141434323104 its reverse (401323434141), we get a palindrome (542757757245).

The spelling of 141434323104 in words is "one hundred forty-one billion, four hundred thirty-four million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 983 1236 1648 1966 2472 2949 3296 3932 4944 5898 7864 9888 11796 14551 15728 23592 29102 31456 43653 47184 58204 87306 94368 101249 116408 174612 202498 232816 303747 349224 404996 465632 607494 698448 809992 1214988 1396896 1498753 1619984 2429976 2997506 3239968 4496259 4859952 5995012 8992518 9719904 11990024 14303633 17985036 23980048 28607266 35970072 42910899 47960096 57214532 71940144 85821798 114429064 143880288 171643596 228858128 343287192 457716256 686574384 1373148768 1473274199 2946548398 4419822597 5893096796 8839645194 11786193592 17679290388 23572387184 35358580776 47144774368 70717161552 141434323104