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20232004232440 = 23573111329355591
BaseRepresentation
bin1001001100110101000010…
…11011001110010011111000
32122122011100011100122120101
410212122201123032103320
510122440121040414230
6111010242054005144
74155466632325000
oct446324133162370
978564304318511
1020232004232440
1164a0387a3a810
1223291213467b4
13b39b3cc94950
144dd33ca25000
15251432d80aca
hex1266a16ce4f8

20232004232440 has 512 divisors, whose sum is σ = 64518612480000. Its totient is φ = 5620256409600.

The previous prime is 20232004232417. The next prime is 20232004232501. The reversal of 20232004232440 is 4423240023202.

It is a happy number.

It is a super-2 number, since 2×202320042324402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20232004232399 and 20232004232408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56719045 + ... + 57074635.

It is an arithmetic number, because the mean of its divisors is an integer number (126012915000).

Almost surely, 220232004232440 is an apocalyptic number.

20232004232440 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 20232004232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259306240000).

20232004232440 is an abundant number, since it is smaller than the sum of its proper divisors (44286608247560).

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

20232004232440 is a wasteful number, since it uses less digits than its factorization.

20232004232440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355676 (or 355658 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20232004232440 its reverse (4423240023202), we get a palindrome (24655244255642).

The spelling of 20232004232440 in words is "twenty trillion, two hundred thirty-two billion, four million, two hundred thirty-two thousand, four hundred forty".