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40131473680 = 24529163106123
BaseRepresentation
bin100101011000000001…
…011011000100010000
310211120211110002111001
4211120001123010100
51124142124124210
630234112431344
72620331616664
oct453001330420
9124524402431
1040131473680
1116024197181
12793bb48554
133a27395a3c
141d29c328a4
15109d30703a
hex95805b110

40131473680 has 80 divisors (see below), whose sum is σ = 97116194880. Its totient is φ = 15403820544.

The previous prime is 40131473653. The next prime is 40131473693. The reversal of 40131473680 is 8637413104.

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

It is a super-2 number, since 2×401314736802 (a number of 22 digits) contains 22 as substring.

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, 325099 + ... + 431221.

It is an arithmetic number, because the mean of its divisors is an integer number (1213952436).

Almost surely, 240131473680 is an apocalyptic number.

40131473680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48558097440).

40131473680 is an abundant number, since it is smaller than the sum of its proper divisors (56984721200).

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

40131473680 is a wasteful number, since it uses less digits than its factorization.

40131473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106328 (or 106322 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 40131473680 its reverse (8637413104), we get a palindrome (48768886784).

The spelling of 40131473680 in words is "forty billion, one hundred thirty-one million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 163 232 290 326 464 580 652 815 1160 1304 1630 2320 2608 3260 4727 6520 9454 13040 18908 23635 37816 47270 75632 94540 106123 189080 212246 378160 424492 530615 848984 1061230 1697968 2122460 3077567 4244920 6155134 8489840 12310268 15387835 17298049 24620536 30775670 34596098 49241072 61551340 69192196 86490245 123102680 138384392 172980490 246205360 276768784 345960980 501643421 691921960 1003286842 1383843920 2006573684 2508217105 4013147368 5016434210 8026294736 10032868420 20065736840 40131473680