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40431435440 = 2451173629381
BaseRepresentation
bin100101101001111001…
…101011111010110000
310212100201212201122212
4211221321223322300
51130300421413230
630323545551252
72630633350034
oct455171537260
9125321781585
1040431435440
1116168544960
127a044a5528
133a7457c2c6
141d579d61c4
1510b9809895
hex969e6beb0

40431435440 has 80 divisors (see below), whose sum is σ = 103953766176. Its totient is φ = 14500915200.

The previous prime is 40431435419. The next prime is 40431435511. The reversal of 40431435440 is 4453413404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40431435397 and 40431435406.

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, 250451 + ... + 378930.

Almost surely, 240431435440 is an apocalyptic number.

40431435440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431435440 is an abundant number, since it is smaller than the sum of its proper divisors (63522330736).

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

40431435440 is a wasteful number, since it uses less digits than its factorization.

40431435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629478 (or 629472 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 40431435440 its reverse (4453413404), we get a palindrome (44884848844).

The spelling of 40431435440 in words is "forty billion, four hundred thirty-one million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 2920 3212 4015 5840 6424 8030 12848 16060 32120 64240 629381 1258762 2517524 3146905 5035048 6293810 6923191 10070096 12587620 13846382 25175240 27692764 34615955 45944813 50350480 55385528 69231910 91889626 110771056 138463820 183779252 229724065 276927640 367558504 459448130 505392943 553855280 735117008 918896260 1010785886 1837792520 2021571772 2526964715 3675585040 4043143544 5053929430 8086287088 10107858860 20215717720 40431435440