Search a number
-
+
40534400443504 = 2411535791775029
BaseRepresentation
bin10010011011101101001101…
…00010100010010001110000
312022112001101001122022121011
421031312212202202101300
520303103423003143004
6222113125124240304
711352341141625322
oct1115664642422160
9168461331568534
1040534400443504
1111a085a7358970
124667a08840094
1319804ba667446
14a01c38339612
154a45d594e004
hex24dda68a2470

40534400443504 has 80 divisors (see below), whose sum is σ = 87294162503520. Its totient is φ = 18076538055680.

The previous prime is 40534400443417. The next prime is 40534400443567.

40534400443504 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 15 ways as a sum of consecutive naturals, for example, 540212262 + ... + 540287290.

It is an arithmetic number, because the mean of its divisors is an integer number (1091177031294).

Almost surely, 240534400443504 is an apocalyptic number.

40534400443504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40534400443504 is an abundant number, since it is smaller than the sum of its proper divisors (46759762060016).

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

40534400443504 is a wasteful number, since it uses less digits than its factorization.

40534400443504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133018 (or 133012 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 40534400 and 443504, that added together give a palindrome (40977904).

The spelling of 40534400443504 in words is "forty trillion, five hundred thirty-four billion, four hundred million, four hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 57917 75029 115834 150058 231668 300116 463336 600232 637087 825319 926672 1200464 1274174 1650638 2548348 3069601 3301276 3976537 5096696 6139202 6602552 7953074 10193392 12278404 13205104 15906148 24556808 31812296 33765611 43741907 49113616 63624592 67531222 87483814 135062444 174967628 270124888 349935256 540249776 699870512 4345454593 8690909186 17381818372 34763636744 47800000523 69527273488 95600001046 191200002092 230309093429 382400004184 460618186858 764800008368 921236373716 1842472747432 2533400027719 3684945494864 5066800055438 10133600110876 20267200221752 40534400443504