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23005241435040 = 2535239949209449
BaseRepresentation
bin1010011101100010100110…
…01111100110001110100000
310000110021112211102021021120
411032301103033212032200
511003404213301410130
6120532243443452240
74563034220523504
oct516612317461640
9100407484367246
1023005241435040
11736a517054507
1226b66a0987080
13cab5009a6597
14597661302304
1529d644822910
hex14ec533e63a0

23005241435040 has 192 divisors, whose sum is σ = 75625189920000. Its totient is φ = 5867385790464.

The previous prime is 23005241435023. The next prime is 23005241435053. The reversal of 23005241435040 is 4053414250032.

It is a super-2 number, since 2×230052414350402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23005241434992 and 23005241435010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109732236 + ... + 109941684.

It is an arithmetic number, because the mean of its divisors is an integer number (393881197500).

Almost surely, 223005241435040 is an apocalyptic number.

23005241435040 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 23005241435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812594960000).

23005241435040 is an abundant number, since it is smaller than the sum of its proper divisors (52619948484960).

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

23005241435040 is a wasteful number, since it uses less digits than its factorization.

23005241435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219439 (or 219431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 23005241435040 its reverse (4053414250032), we get a palindrome (27058655685072).

The spelling of 23005241435040 in words is "twenty-three trillion, five billion, two hundred forty-one million, four hundred thirty-five thousand, forty".