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23240334133440 = 2632513076174109
BaseRepresentation
bin1010100100011000011111…
…10111000100100011000000
310001021202100211210202000100
411102030033313010203000
511021232201014232230
6121232243452122400
74616026100505534
oct522141767044300
9101252324722010
1023240334133440
117450196820396
122734170a66400
13cc77284a4648
145a4ba3d3dbc4
152a4803a38660
hex15230fdc48c0

23240334133440 has 168 divisors, whose sum is σ = 79998239627280. Its totient is φ = 6192679716864.

The previous prime is 23240334133421. The next prime is 23240334133451. The reversal of 23240334133440 is 4433143304232.

23240334133440 is a `hidden beast` number, since 2 + 3 + 240 + 3 + 3 + 41 + 334 + 40 = 666.

It is a super-2 number, since 2×232403341334402 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23240334133395 and 23240334133404.

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 23 ways as a sum of consecutive naturals, for example, 677106 + ... + 6851214.

Almost surely, 223240334133440 is an apocalyptic number.

23240334133440 is a gapful number since it is divisible by the number (20) 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 23240334133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39999119813640).

23240334133440 is an abundant number, since it is smaller than the sum of its proper divisors (56757905493840).

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

23240334133440 is a wasteful number, since it uses less digits than its factorization.

23240334133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175439 (or 6175426 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23240334133440 its reverse (4433143304232), we get a palindrome (27673477437672).

The spelling of 23240334133440 in words is "twenty-three trillion, two hundred forty billion, three hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".