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40213104204 = 22372137337177
BaseRepresentation
bin100101011100111000…
…110100011001001100
310211210112001100111210
4211130320310121030
51124324023313304
630250150214420
72622342513600
oct453470643114
9124715040453
1040213104204
1116066281419
127963354410
133a3b277320
141d36a01500
1510a557dc89
hex95ce3464c

40213104204 has 144 divisors (see below), whose sum is σ = 117722760288. Its totient is φ = 10589709312.

The previous prime is 40213104203. The next prime is 40213104209. The reversal of 40213104204 is 40240131204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40213104203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5599464 + ... + 5606640.

Almost surely, 240213104204 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 40213104204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58861380144).

40213104204 is an abundant number, since it is smaller than the sum of its proper divisors (77509656084).

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

40213104204 is a wasteful number, since it uses less digits than its factorization.

40213104204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40213104204 its reverse (40240131204), we get a palindrome (80453235408).

The spelling of 40213104204 in words is "forty billion, two hundred thirteen million, one hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 733 1092 1274 1466 1911 2199 2548 2932 3822 4398 5131 7177 7644 8796 9529 10262 14354 15393 19058 20524 21531 28587 28708 30786 35917 38116 43062 50239 57174 61572 66703 71834 86124 93301 100478 107751 114348 133406 143668 150717 186602 200109 200956 215502 266812 279903 301434 351673 373204 400218 431004 466921 559806 602868 653107 703346 800436 933842 1055019 1119612 1306214 1400763 1406692 1867684 1959321 2110038 2612428 2801526 3918642 4220076 4571749 5260741 5603052 7837284 9143498 10521482 13715247 15782223 18286996 21042964 27430494 31564446 36825187 54860988 63128892 68389633 73650374 110475561 136779266 147300748 205168899 220951122 257776309 273558532 410337798 441902244 478727431 515552618 773328927 820675596 957454862 1031105236 1436182293 1546657854 1914909724 2872364586 3093315708 3351092017 5744729172 6702184034 10053276051 13404368068 20106552102 40213104204