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40132022040 = 233251110134349
BaseRepresentation
bin100101011000000011…
…100000111100011000
310211120212110221200200
4211120003200330120
51124142244201130
630234132302200
72620336362465
oct453003407430
9124525427620
1040132022040
1116024531170
127940171960
133a27528506
141d29d3666c
15109d3b4760
hex9580e0f18

40132022040 has 96 divisors (see below), whose sum is σ = 142286274000. Its totient is φ = 9728974080.

The previous prime is 40132021987. The next prime is 40132022059. The reversal of 40132022040 is 4022023104.

40132022040 is a `hidden beast` number, since 401 + 3 + 2 + 0 + 220 + 40 = 666.

It is a super-2 number, since 2×401320220402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5063215 + ... + 5071134.

Almost surely, 240132022040 is an apocalyptic number.

40132022040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40132022040 is an abundant number, since it is smaller than the sum of its proper divisors (102154251960).

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

40132022040 is a wasteful number, since it uses less digits than its factorization.

40132022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134377 (or 10134370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40132022040 its reverse (4022023104), we get a palindrome (44154045144).

The spelling of 40132022040 in words is "forty billion, one hundred thirty-two million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 10134349 20268698 30403047 40537396 50671745 60806094 81074792 91209141 101343490 111477839 121612188 152015235 182418282 202686980 222955678 243224376 304030470 334433517 364836564 405373960 445911356 456045705 557389195 608060940 668867034 729673128 891822712 912091410 1003300551 1114778390 1216121880 1337734068 1672167585 1824182820 2006601102 2229556780 2675468136 3344335170 3648365640 4013202204 4459113560 5016502755 6688670340 8026404408 10033005510 13377340680 20066011020 40132022040