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40295316432 = 2437196311923
BaseRepresentation
bin100101100001110010…
…011011101111010000
310212000020202011111010
4211201302123233100
51130011100111212
630302244250520
72624361352440
oct454162335720
9125006664433
1040295316432
11160a8723708
1279869a0a40
133a52300607
141d438c2120
1510ac8bd03c
hex961c9bbd0

40295316432 has 80 divisors (see below), whose sum is σ = 125228572160. Its totient is φ = 10907001216.

The previous prime is 40295316407. The next prime is 40295316497. The reversal of 40295316432 is 23461359204.

40295316432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3149578 + ... + 3162345.

It is an arithmetic number, because the mean of its divisors is an integer number (1565357152).

Almost surely, 240295316432 is an apocalyptic number.

40295316432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40295316432 is an abundant number, since it is smaller than the sum of its proper divisors (84933255728).

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

40295316432 is a wasteful number, since it uses less digits than its factorization.

40295316432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311960 (or 6311954 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 40295316432 in words is "forty billion, two hundred ninety-five million, three hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 6311923 12623846 18935769 25247692 37871538 44183461 50495384 75743076 88366922 100990768 119926537 132550383 151486152 176733844 239853074 265100766 302972304 353467688 359779611 479706148 530201532 706935376 719559222 839485759 959412296 1060403064 1439118444 1678971518 1918824592 2120806128 2518457277 2878236888 3357943036 5036914554 5756473776 6715886072 10073829108 13431772144 20147658216 40295316432