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40131414072 = 23321719290823
BaseRepresentation
bin100101011000000001…
…001100100000111000
310211120211100001201100
4211120001030200320
51124142120222242
630234111251400
72620331251131
oct453001144070
9124524301640
1040131414072
1116024156412
12793bb19b60
133a27374879
141d29c18c88
15109d2e454c
hex95804c838

40131414072 has 144 divisors (see below), whose sum is σ = 121459843440. Its totient is φ = 11927471616.

The previous prime is 40131414067. The next prime is 40131414073. The reversal of 40131414072 is 27041413104.

It is a super-2 number, since 2×401314140722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131414073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396453 + ... + 487275.

It is an arithmetic number, because the mean of its divisors is an integer number (843471135).

Almost surely, 240131414072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131414072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60729921720).

40131414072 is an abundant number, since it is smaller than the sum of its proper divisors (81328429368).

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

40131414072 is a wasteful number, since it uses less digits than its factorization.

40131414072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90890 (or 90864 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 40131414072 its reverse (27041413104), we get a palindrome (67172827176).

The spelling of 40131414072 in words is "forty billion, one hundred thirty-one million, four hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 361 408 456 612 646 684 722 969 1083 1224 1292 1368 1444 1938 2166 2584 2888 2907 3249 3876 4332 5814 6137 6498 7752 8664 11628 12274 12996 18411 23256 24548 25992 36822 49096 55233 73644 90823 110466 147288 181646 220932 272469 363292 441864 544938 726584 817407 1089876 1543991 1634814 1725637 2179752 3087982 3269628 3451274 4631973 5176911 6175964 6539256 6902548 9263946 10353822 12351928 13805096 13895919 15530733 18527892 20707644 27791838 29335829 31061466 32787103 37055784 41415288 55583676 58671658 62122932 65574206 88007487 98361309 111167352 117343316 124245864 131148412 176014974 196722618 234686632 262296824 264022461 295083927 352029948 393445236 528044922 557380751 590167854 704059896 786890472 1056089844 1114761502 1180335708 1672142253 2112179688 2229523004 2360671416 3344284506 4459046008 5016426759 6688569012 10032853518 13377138024 20065707036 40131414072