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40243003104 = 25310322717929
BaseRepresentation
bin100101011110101010…
…110111111011100000
310211212121022101002110
4211132222313323200
51124404202044404
630253135115320
72623154611443
oct453652677340
9124777271073
1040243003104
1116081142957
127971372b40
133a44515295
141d3a98565a
1510a7ed7b89
hex95eab7ee0

40243003104 has 96 divisors (see below), whose sum is σ = 107139352320. Its totient is φ = 13224840192.

The previous prime is 40243003103. The next prime is 40243003133. The reversal of 40243003104 is 40130034204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243003103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235612 + ... + 2253540.

It is an arithmetic number, because the mean of its divisors is an integer number (1116034920).

Almost surely, 240243003104 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 40243003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569676160).

40243003104 is an abundant number, since it is smaller than the sum of its proper divisors (66896349216).

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

40243003104 is a wasteful number, since it uses less digits than its factorization.

40243003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40243003104 its reverse (40130034204), we get a palindrome (80373037308).

The spelling of 40243003104 in words is "forty billion, two hundred forty-three million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 227 309 412 454 618 681 824 908 1236 1362 1648 1816 2472 2724 3296 3632 4944 5448 7264 9888 10896 17929 21792 23381 35858 46762 53787 70143 71716 93524 107574 140286 143432 187048 215148 280572 286864 374096 430296 561144 573728 748192 860592 1122288 1721184 1846687 2244576 3693374 4069883 5540061 7386748 8139766 11080122 12209649 14773496 16279532 22160244 24419298 29546992 32559064 44320488 48838596 59093984 65118128 88640976 97677192 130236256 177281952 195354384 390708768 419197949 838395898 1257593847 1676791796 2515187694 3353583592 5030375388 6707167184 10060750776 13414334368 20121501552 40243003104