Search a number
-
+
404068823888 = 24374119938353
BaseRepresentation
bin1011110000101000110…
…00001111001101010000
31102121222020210001001212
411320110120033031100
523110013104331023
6505343205115252
741123126222222
oct5702430171520
91377866701055
10404068823888
11146401353a74
12663899b8b28
132c1465a9142
14157b2710412
15a79dc15e78
hex5e1460f350

404068823888 has 80 divisors (see below), whose sum is σ = 824165072976. Its totient is φ = 191660359680.

The previous prime is 404068823867. The next prime is 404068823891. The reversal of 404068823888 is 888328860404.

It can be written as a sum of positive squares in 8 ways, for example, as 8714595904 + 395354227984 = 93352^2 + 628772^2 .

It is a super-2 number, since 2×4040688238882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48369920 + ... + 48378272.

Almost surely, 2404068823888 is an apocalyptic number.

It is an amenable number.

404068823888 is an abundant number, since it is smaller than the sum of its proper divisors (420096249088).

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

404068823888 is a wasteful number, since it uses less digits than its factorization.

404068823888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 59.

The spelling of 404068823888 in words is "four hundred four billion, sixty-eight million, eight hundred twenty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 37 41 74 82 148 164 296 328 592 656 1517 1993 3034 3986 6068 7972 8353 12136 15944 16706 24272 31888 33412 66824 73741 81713 133648 147482 163426 294964 309061 326852 342473 589928 618122 653704 684946 1179856 1236244 1307408 1369892 2472488 2739784 3023381 4944976 5479568 6046762 12093524 12671501 16647529 24187048 25343002 33295058 48374096 50686004 66590116 101372008 133180232 202744016 266360464 615958573 682548689 1231917146 1365097378 2463834292 2730194756 4927668584 5460389512 9855337168 10920779024 25254301493 50508602986 101017205972 202034411944 404068823888