Search a number
-
+
231429950439408 = 2434725510356089
BaseRepresentation
bin110100100111101111111011…
…111111000111111111110000
31010100102111011011100120120000
4310213233323333013333300
5220313222014303030113
62140113241305150000
766514155626135310
oct6447577377077760
91110374134316500
10231429950439408
1167816988725056
1221b5881218b300
139c1999b336996
1441213ab203440
151bb50565b2373
hexd27bfbfc7ff0

231429950439408 has 100 divisors (see below), whose sum is σ = 765514765548720. Its totient is φ = 66122842980096.

The previous prime is 231429950439407. The next prime is 231429950439503. The reversal of 231429950439408 is 804934059924132.

231429950439408 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 99 + 504 + 39 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231429950439407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12755168973 + ... + 12755187116.

Almost surely, 2231429950439408 is an apocalyptic number.

231429950439408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231429950439408 is an abundant number, since it is smaller than the sum of its proper divisors (534084815109312).

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

231429950439408 is a wasteful number, since it uses less digits than its factorization.

231429950439408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25510356116 (or 25510356101 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 231429950439408 in words is "two hundred thirty-one trillion, four hundred twenty-nine billion, nine hundred fifty million, four hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 25510356089 51020712178 76531068267 102041424356 153062136534 178572492623 204082848712 229593204801 306124273068 357144985246 408165697424 459186409602 535717477869 612248546136 688779614403 714289970492 918372819204 1071434955738 1224497092272 1377559228806 1428579940984 1607152433607 1836745638408 2066338843209 2142869911476 2755118457612 2857159881968 3214304867214 3673491276816 4132677686418 4285739822952 4821457300821 5510236915224 6428609734428 8265355372836 8571479645904 9642914601642 11020473830448 12857219468856 14464371902463 16530710745672 19285829203284 25714438937712 28928743804926 33061421491344 38571658406568 57857487609852 77143316813136 115714975219704 231429950439408