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40824030438 = 23237509120427
BaseRepresentation
bin100110000001010011…
…010100010011100110
310220101002121121202100
4212001103110103212
51132101422433223
630430532352530
72643441350622
oct460123242346
9126332547670
1040824030438
111634a112334
127ab3a75746
133b079ca239
141d93bd0182
1510de009043
hex9814d44e6

40824030438 has 48 divisors (see below), whose sum is σ = 91021890960. Its totient is φ = 13214104128.

The previous prime is 40824030431. The next prime is 40824030473. The reversal of 40824030438 is 83403042804.

40824030438 is a `hidden beast` number, since 408 + 240 + 3 + 0 + 4 + 3 + 8 = 666.

It is a super-2 number, since 2×408240304382 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40824030431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278781 + ... + 399207.

It is an arithmetic number, because the mean of its divisors is an integer number (1896289395).

Almost surely, 240824030438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40824030438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45510945480).

40824030438 is an abundant number, since it is smaller than the sum of its proper divisors (50197860522).

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

40824030438 is a wasteful number, since it uses less digits than its factorization.

40824030438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120981 (or 120978 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40824030438 in words is "forty billion, eight hundred twenty-four million, thirty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 509 666 1018 1527 3054 4581 9162 18833 37666 56499 112998 120427 169497 240854 338994 361281 722562 1083843 2167686 4455799 8911598 13367397 26734794 40102191 61297343 80204382 122594686 183892029 367784058 551676087 1103352174 2268001691 4536003382 6804005073 13608010146 20412015219 40824030438