Search a number
-
+
12023029322424 = 2333199279709411
BaseRepresentation
bin1010111011110101010001…
…1001000101001010111000
31120120101112120210220012000
42232331110121011022320
53033441131001304144
641323145312221000
72350430606016141
oct256752431051270
946511476726160
1012023029322424
113915a3568167a
12142218823a760
136929c78774a3
142d7cbc340ac8
1515cb2eac3769
hexaef546452b8

12023029322424 has 64 divisors (see below), whose sum is σ = 33565129440000. Its totient is φ = 3987537348960.

The previous prime is 12023029322419. The next prime is 12023029322459. The reversal of 12023029322424 is 42422392032021.

12023029322424 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 302 + 9 + 322 + 4 + 24 = 666.

12023029322424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 139811722 + ... + 139897689.

It is an arithmetic number, because the mean of its divisors is an integer number (524455147500).

Almost surely, 212023029322424 is an apocalyptic number.

It is an amenable number.

12023029322424 is an abundant number, since it is smaller than the sum of its proper divisors (21542100117576).

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

12023029322424 is a wasteful number, since it uses less digits than its factorization.

12023029322424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279709625 (or 279709615 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12023029322424 in words is "twelve trillion, twenty-three billion, twenty-nine million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 10746 14328 21492 42984 279709411 559418822 839128233 1118837644 1678256466 2237675288 2517384699 3356512932 5034769398 6713025864 7552154097 10069538796 15104308194 20139077592 30208616388 55662172789 60417232776 111324345578 166986518367 222648691156 333973036734 445297382312 500959555101 667946073468 1001919110202 1335892146936 1502878665303 2003838220404 3005757330606 4007676440808 6011514661212 12023029322424