Search a number
-
+
23714428328136 = 2332721319251108421
BaseRepresentation
bin1010110010001011100100…
…00100111001100011001000
310002222002002021200012011100
411121011302010321203020
511102014122123000021
6122234131420101400
74665211432616100
oct531056204714310
9102862067605140
1023714428328136
117613261614937
1227b0022094860
13103035153c030
145bdada78c200
152b1d001c2626
hex1591721398c8

23714428328136 has 576 divisors, whose sum is σ = 85032598996800. Its totient is φ = 5901517440000.

The previous prime is 23714428328119. The next prime is 23714428328153. The reversal of 23714428328136 is 63182382441732.

23714428328136 is a `hidden beast` number, since 2 + 3 + 71 + 442 + 83 + 28 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (23714428328119) and next prime (23714428328153).

It is a super-2 number, since 2×237144283281362 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218671206 + ... + 218779626.

It is an arithmetic number, because the mean of its divisors is an integer number (147626039925).

Almost surely, 223714428328136 is an apocalyptic number.

23714428328136 is a gapful number since it is divisible by the number (26) 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 23714428328136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42516299498400).

23714428328136 is an abundant number, since it is smaller than the sum of its proper divisors (61318170668664).

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

23714428328136 is a wasteful number, since it uses less digits than its factorization.

23714428328136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108730 (or 108716 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 23714428328136 in words is "twenty-three trillion, seven hundred fourteen billion, four hundred twenty-eight million, three hundred twenty-eight thousand, one hundred thirty-six".