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400311022140 = 223252837858481
BaseRepresentation
bin1011101001101000110…
…01010111001000111100
31102021021100210221011100
411310310121113020330
523024314110202030
6503522250253100
740631036355051
oct5646431271074
91367240727140
10400311022140
11144853154997
12656bb427190
132b997bc8003
1415537605028
15a62dd83360
hex5d3465723c

400311022140 has 72 divisors (see below), whose sum is σ = 1218567652848. Its totient is φ = 106372385280.

The previous prime is 400311022103. The next prime is 400311022141. The reversal of 400311022140 is 41220113004.

400311022140 is a `hidden beast` number, since 400 + 3 + 1 + 1 + 0 + 221 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400311022141) 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, 3878301 + ... + 3980180.

It is an arithmetic number, because the mean of its divisors is an integer number (16924550734).

Almost surely, 2400311022140 is an apocalyptic number.

It is an amenable number.

400311022140 is an abundant number, since it is smaller than the sum of its proper divisors (818256630708).

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

400311022140 is a wasteful number, since it uses less digits than its factorization.

400311022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858779 (or 7858774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 400311022140 its reverse (41220113004), we get a palindrome (441531135144).

The spelling of 400311022140 in words is "four hundred billion, three hundred eleven million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 10188 12735 16980 25470 50940 7858481 15716962 23575443 31433924 39292405 47150886 70726329 78584810 94301772 117877215 141452658 157169620 235754430 282905316 353631645 471508860 707263290 1414526580 2223950123 4447900246 6671850369 8895800492 11119750615 13343700738 20015551107 22239501230 26687401476 33359251845 40031102214 44479002460 66718503690 80062204428 100077755535 133437007380 200155511070 400311022140