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40322004100 = 22527419137477
BaseRepresentation
bin100101100011011000…
…001111010010000100
310212002002222001002021
4211203120033102010
51130034413112400
630305040252524
72625134244160
oct454330172204
9125062861067
1040322004100
11161117a1534
127993911144
133a579b5a31
141d4726bca0
1510aede071a
hex96360f484

40322004100 has 72 divisors (see below), whose sum is σ = 100237959360. Its totient is φ = 13791592320.

The previous prime is 40322004097. The next prime is 40322004113. The reversal of 40322004100 is 140022304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224562 + ... + 362038.

It is an arithmetic number, because the mean of its divisors is an integer number (1392193880).

Almost surely, 240322004100 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 40322004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50118979680).

40322004100 is an abundant number, since it is smaller than the sum of its proper divisors (59915955260).

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

40322004100 is a wasteful number, since it uses less digits than its factorization.

40322004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137917 (or 137910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40322004100 its reverse (140022304), we get a palindrome (40462026404).

The spelling of 40322004100 in words is "forty billion, three hundred twenty-two million, four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 419 700 838 1676 2095 2933 4190 5866 8380 10475 11732 14665 20950 29330 41900 58660 73325 137477 146650 274954 293300 549908 687385 962339 1374770 1924678 2749540 3436925 3849356 4811695 6873850 9623390 13747700 19246780 24058475 48116950 57602863 96233900 115205726 230411452 288014315 403220041 576028630 806440082 1152057260 1440071575 1612880164 2016100205 2880143150 4032200410 5760286300 8064400820 10080501025 20161002050 40322004100