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40413233231404 = 221117311742851183
BaseRepresentation
bin10010011000001011100000…
…11010010011011000101100
312022002110121201011012002221
421030011300122103120230
520244112300201401104
6221541325534325124
711340521410414225
oct1114056032233054
9168073551135087
1040413233231404
1111971179652050
1246484320597a4
131971c4a6c8837
149da021d9a24c
154a1393287c54
hex24c17069362c

40413233231404 has 48 divisors (see below), whose sum is σ = 84326111686656. Its totient is φ = 16731371347200.

The previous prime is 40413233231351. The next prime is 40413233231417.

40413233231404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404132332314042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 40413233231404.

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 15 ways as a sum of consecutive naturals, for example, 871402404 + ... + 871448779.

It is an arithmetic number, because the mean of its divisors is an integer number (1756793993472).

Almost surely, 240413233231404 is an apocalyptic number.

40413233231404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40413233231404 is an abundant number, since it is smaller than the sum of its proper divisors (43912878455252).

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

40413233231404 is a wasteful number, since it uses less digits than its factorization.

40413233231404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742851246 (or 1742851244 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4041323 and 3231404, that added together give a palindrome (7272727).

The spelling of 40413233231404 in words is "forty trillion, four hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 682 748 1054 1364 2108 5797 11594 23188 1742851183 3485702366 6971404732 19171363013 29628470111 38342726026 54028386673 59256940222 76685452052 108056773346 118513880444 216113546692 325913171221 594312253403 651826342442 918482573441 1188624506806 1303652684884 1836965146882 2377249013612 3673930293764 10103308307851 20206616615702 40413233231404