Search a number
-
+
124331384263680 = 21034511177012287
BaseRepresentation
bin11100010001010000100111…
…111111100101010000000000
3121022012222000221102112210000
4130101100213333211100000
5112244021133332414210
61120233014401440000
735121434415023646
oct3421204777452000
9538188027375700
10124331384263680
113668570a116980
1211b40309040000
13544b526148019
14229b957733196
15e592281d0ac0
hex711427fe5400

124331384263680 has 1760 divisors, whose sum is σ = 515586273725952. Its totient is φ = 28315090944000.

The previous prime is 124331384263643. The next prime is 124331384263717. The reversal of 124331384263680 is 86362483133421.

124331384263680 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 3 + 138 + 426 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (124331384263643) and next prime (124331384263717).

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×1243313842636802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54364399497 + ... + 54364401783.

Almost surely, 2124331384263680 is an apocalyptic number.

124331384263680 is a gapful number since it is divisible by the number (10) 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 124331384263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257793136862976).

124331384263680 is an abundant number, since it is smaller than the sum of its proper divisors (391254889462272).

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

124331384263680 is a wasteful number, since it uses less digits than its factorization.

124331384263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 124331384263680 in words is "one hundred twenty-four trillion, three hundred thirty-one billion, three hundred eighty-four million, two hundred sixty-three thousand, six hundred eighty".