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40401313232 = 2474355715061
BaseRepresentation
bin100101101000000110…
…110001110111010000
310212021122012100202112
4211220012301313100
51130220214010412
630320552204452
72630116332140
oct455006616720
9125248170675
1040401313232
1116152540675
1279b6399728
133a6b263807
141d539d4920
1510b6d59722
hex9681b1dd0

40401313232 has 80 divisors (see below), whose sum is σ = 91710951552. Its totient is φ = 16880693760.

The previous prime is 40401313219. The next prime is 40401313261. The reversal of 40401313232 is 23231310404.

It is a super-2 number, since 2×404013132322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40401313198 and 40401313207.

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, 2674982 + ... + 2690042.

Almost surely, 240401313232 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 40401313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45855475776).

40401313232 is an abundant number, since it is smaller than the sum of its proper divisors (51309638320).

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

40401313232 is a wasteful number, since it uses less digits than its factorization.

40401313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 40401313232 its reverse (23231310404), we get a palindrome (63632623636).

The spelling of 40401313232 in words is "forty billion, four hundred one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 557 602 688 1114 1204 2228 2408 3899 4456 4816 7798 8912 15061 15596 23951 30122 31192 47902 60244 62384 95804 105427 120488 167657 191608 210854 240976 335314 383216 421708 647623 670628 843416 1295246 1341256 1686832 2590492 2682512 4533361 5180984 8388977 9066722 10361968 16777954 18133444 33555908 36266888 58722839 67111816 72533776 117445678 134223632 234891356 360726011 469782712 721452022 939565424 1442904044 2525082077 2885808088 5050164154 5771616176 10100328308 20200656616 40401313232