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40722044805 = 32513241612141
BaseRepresentation
bin100101111011001110…
…010001011110000101
310220002222201012202200
4211323032101132011
51131344320413210
630412450425113
72641062445461
oct457316213605
9126088635680
1040722044805
11162a7594a92
127a85892199
133abc83ca00
141d844434a1
1510d50b10c0
hex97b391785

40722044805 has 144 divisors (see below), whose sum is σ = 79617060432. Its totient is φ = 19229184000.

The previous prime is 40722044719. The next prime is 40722044821. The reversal of 40722044805 is 50844022704.

40722044805 is a `hidden beast` number, since 407 + 2 + 204 + 48 + 0 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 40698220644 + 23824161 = 201738^2 + 4881^2 .

It is not a de Polignac number, because 40722044805 - 27 = 40722044677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40722044805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19019035 + ... + 19021175.

It is an arithmetic number, because the mean of its divisors is an integer number (552896253).

Almost surely, 240722044805 is an apocalyptic number.

40722044805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40722044805 is a deficient number, since it is larger than the sum of its proper divisors (38895015627).

40722044805 is a wasteful number, since it uses less digits than its factorization.

40722044805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40722044805 in words is "forty billion, seven hundred twenty-two million, forty-four thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 41 45 61 65 117 123 169 183 195 205 305 369 507 533 549 585 615 793 845 915 1521 1599 1845 2141 2379 2501 2535 2665 2745 3965 4797 6423 6929 7137 7503 7605 7995 10309 10705 11895 12505 19269 20787 22509 23985 27833 30927 32115 32513 34645 35685 37515 51545 62361 83499 87781 92781 96345 97539 103935 112545 130601 139165 154635 162565 250497 263343 292617 311805 361829 391803 417495 422669 438905 463905 487695 653005 790029 1085487 1141153 1175409 1252485 1268007 1316715 1463085 1697813 1809145 1959015 2113345 3256461 3423459 3804021 3950145 5093439 5354641 5427435 5705765 5877045 6340035 8489065 10270377 14834989 15280317 16063923 16282305 17117295 19020105 22071569 25467195 26773205 44504967 48191769 51351885 66214707 69610333 74174945 76401585 80319615 110357845 133514901 198644121 208830999 222524835 240958845 331073535 348051665 626492997 667574505 904934329 993220605 1044154995 2714802987 3132464985 4524671645 8144408961 13574014935 40722044805