Search a number
-
+
31417464141 = 337755921991
BaseRepresentation
bin11101010000101000…
…000111010101001101
310000002112111112122000
4131100220013111031
51003320332323031
622233305142513
72161361016240
oct352050072515
9100075445560
1031417464141
11123623808a8
12610978aa39
132c68c4998b
1417407c5257
15c3d2bd3e6
hex750a0754d

31417464141 has 32 divisors (see below), whose sum is σ = 53203046400. Its totient is φ = 17949645360.

The previous prime is 31417464137. The next prime is 31417464149. The reversal of 31417464141 is 14146471413.

31417464141 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 7 + 4 + 641 + 4 + 1 = 666.

It is not a de Polignac number, because 31417464141 - 22 = 31417464137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31417464096 and 31417464105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31417464149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417656 + ... + 1439646.

It is an arithmetic number, because the mean of its divisors is an integer number (1662595200).

Almost surely, 231417464141 is an apocalyptic number.

It is an amenable number.

31417464141 is a deficient number, since it is larger than the sum of its proper divisors (21785582259).

31417464141 is a wasteful number, since it uses less digits than its factorization.

31417464141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29566 (or 29560 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 31417464141 in words is "thirty-one billion, four hundred seventeen million, four hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 7559 21991 22677 52913 65973 68031 153937 158739 197919 204093 461811 476217 593757 1385433 1428651 4156299 166229969 498689907 1163609783 1496069721 3490829349 4488209163 10472488047 31417464141