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23231121412240 = 2457103402758693
BaseRepresentation
bin1010100100000111010101…
…01111010101000010010000
310001020212120210110000101001
411102003222233111002100
511021104314040142430
6121224121351351344
74615251562615210
oct522035257250220
9101225523400331
1023231121412240
117447299448615
12273241b682554
13cc68ba934a21
145a456c594240
152a4464d3d3ca
hex1520eabd5090

23231121412240 has 80 divisors (see below), whose sum is σ = 62327713413888. Its totient is φ = 7887626224128.

The previous prime is 23231121412193. The next prime is 23231121412243. The reversal of 23231121412240 is 4221412113232.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 23231121412199 and 23231121412208.

It is not an unprimeable number, because it can be changed into a prime (23231121412243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 201321667 + ... + 201437026.

Almost surely, 223231121412240 is an apocalyptic number.

23231121412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231121412240 is an abundant number, since it is smaller than the sum of its proper divisors (39096592001648).

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

23231121412240 is a wasteful number, since it uses less digits than its factorization.

23231121412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402758816 (or 402758810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 23231121412240 its reverse (4221412113232), we get a palindrome (27452533525472).

The spelling of 23231121412240 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred twenty-one million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2884 3605 4120 5768 7210 8240 11536 14420 28840 57680 402758693 805517386 1611034772 2013793465 2819310851 3222069544 4027586930 5638621702 6444139088 8055173860 11277243404 14096554255 16110347720 22554486808 28193108510 32220695440 41484145379 45108973616 56386217020 82968290758 112772434040 165936581516 207420726895 225544868080 290389017653 331873163032 414841453790 580778035306 663746326064 829682907580 1161556070612 1451945088265 1659365815160 2323112141224 2903890176530 3318731630320 4646224282448 5807780353060 11615560706120 23231121412240