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40435522553404 = 2211103149293204371
BaseRepresentation
bin10010011000110101000001…
…11101010100011000111100
312022011121011002110001202101
421030122200331110120330
520244443422233202104
6221555453404034444
711342240641500256
oct1114324075243074
9168147132401671
1040435522553404
111197a677369620
124650812832a24
13197409047a274
149db138330cd6
154a1c49eb65a4
hex24c6a0f5463c

40435522553404 has 96 divisors (see below), whose sum is σ = 78735866227200. Its totient is φ = 18017389996800.

The previous prime is 40435522553399. The next prime is 40435522553423.

It is a happy number.

40435522553404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197751339 + ... + 197955709.

It is an arithmetic number, because the mean of its divisors is an integer number (820165273200).

Almost surely, 240435522553404 is an apocalyptic number.

40435522553404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40435522553404 is a deficient number, since it is larger than the sum of its proper divisors (38300343673796).

40435522553404 is a wasteful number, since it uses less digits than its factorization.

40435522553404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204931 (or 204929 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

It can be divided in two parts, 4043552 and 2553404, that added together give a palindrome (6596956).

The spelling of 40435522553404 in words is "forty trillion, four hundred thirty-five billion, five hundred twenty-two million, five hundred fifty-three thousand, four hundred four".

Divisors: 1 2 4 11 22 44 103 149 206 293 298 412 586 596 1133 1172 1639 2266 3223 3278 4532 6446 6556 12892 15347 30179 30694 43657 60358 61388 87314 120716 168817 174628 204371 331969 337634 408742 480227 663938 675268 817484 960454 1327876 1920908 2248081 4496162 4496671 8992324 8993342 17986684 21050213 30451279 42100426 49463381 59880703 60902558 84200852 98926762 119761406 121805116 197853524 231552343 239522812 334964069 463104686 658687733 669928138 926209372 1317375466 1339856276 2634750932 3136481737 6167712409 6272963474 8922224747 12335424818 12545926948 17844449494 24670849636 34501299107 35688898988 67844836499 69002598214 98144472217 135689672998 138005196428 196288944434 271379345996 392577888868 918989148941 1837978297882 3675956595764 10108880638351 20217761276702 40435522553404