Search a number
-
+
234497061033984 = 21134721929411277
BaseRepresentation
bin110101010100011000011010…
…000001100001100000000000
31010202021200220101001021210000
4311110120122001201200000
5221213444440111041414
62150422243533440000
7100251565530055500
oct6524303201414000
91122250811037700
10234497061033984
116879971069a831
1222373127340000
13a0acc937ac878
1441c9a0b097a00
151c19c1791bb09
hexd5461a061800

234497061033984 has 2880 divisors, whose sum is σ = 909589685004000. Its totient is φ = 59742612357120.

The previous prime is 234497061033979. The next prime is 234497061033997. The reversal of 234497061033984 is 489330160794432.

It is a happy number.

234497061033984 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 9 + 7 + 0 + 610 + 3 + 3 + 9 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 183631213954 + ... + 183631215230.

Almost surely, 2234497061033984 is an apocalyptic number.

234497061033984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234497061033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454794842502000).

234497061033984 is an abundant number, since it is smaller than the sum of its proper divisors (675092623970016).

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

234497061033984 is a wasteful number, since it uses less digits than its factorization.

234497061033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 234497061033984 in words is "two hundred thirty-four trillion, four hundred ninety-seven billion, sixty-one million, thirty-three thousand, nine hundred eighty-four".