Search a number
-
+
31230400047 = 37411613643
BaseRepresentation
bin11101000101011110…
…100001011000101111
32222121111111200221020
4131011132201120233
51002424440300142
622202543505223
72153630010000
oct350536413057
988544450836
1031230400047
1112276823880
126076bb8213
132c39271672
141723a0d1a7
15c2bb6bcec
hex7457a162f

31230400047 has 80 divisors (see below), whose sum is σ = 53162890368. Its totient is φ = 16171928640.

The previous prime is 31230400037. The next prime is 31230400049. The reversal of 31230400047 is 74000403213.

It is not a de Polignac number, because 31230400047 - 26 = 31230399983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31230400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48569508 + ... + 48570150.

Almost surely, 231230400047 is an apocalyptic number.

31230400047 is a deficient number, since it is larger than the sum of its proper divisors (21932490321).

31230400047 is an equidigital number, since it uses as much as digits as its factorization.

31230400047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 31230400047 in words is "thirty-one billion, two hundred thirty million, four hundred thousand, forty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 613 643 1029 1617 1839 1929 2401 3773 4291 4501 6743 7073 7203 11319 12873 13503 20229 21219 26411 30037 31507 47201 49511 79233 90111 94521 141603 148533 210259 220549 330407 346577 394159 630777 661647 991221 1039731 1182477 1471813 1543843 2312849 2426039 2759113 4335749 4415439 4631529 6938547 7278117 8277339 13007247 16189943 16982273 19313791 30350243 48569829 50946819 57941373 91050729 135196537 212451701 405589611 637355103 946375759 1487161907 2839127277 4461485721 10410133349 31230400047