Search a number
-
+
23431412420 = 22513515317489
BaseRepresentation
bin10101110100100111…
…101111101011000100
32020110222100002011122
4111310213233223010
5340441420144140
614433024253112
71456436501513
oct256447575304
966428302148
1023431412420
119a3446aa59
12465b171198
13229557b5a0
1411c3d0c67a
1592212aab5
hex5749efac4

23431412420 has 48 divisors (see below), whose sum is σ = 53004354480. Its totient is φ = 8649424896.

The previous prime is 23431412401. The next prime is 23431412447. The reversal of 23431412420 is 2421413432.

It can be written as a sum of positive squares in 8 ways, for example, as 6959230084 + 16472182336 = 83422^2 + 128344^2 .

It is a super-2 number, since 2×234314124202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23431412420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331036 + ... + 1348524.

It is an arithmetic number, because the mean of its divisors is an integer number (1104257385).

Almost surely, 223431412420 is an apocalyptic number.

23431412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23431412420 is an abundant number, since it is smaller than the sum of its proper divisors (29572942060).

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

23431412420 is a wasteful number, since it uses less digits than its factorization.

23431412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22664 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23431412420 its reverse (2421413432), we get a palindrome (25852825852).

The spelling of 23431412420 in words is "twenty-three billion, four hundred thirty-one million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5153 10306 17489 20612 25765 34978 51530 66989 69956 87445 103060 133978 174890 227357 267956 334945 349780 454714 669890 909428 1136785 1339780 2273570 4547140 90120817 180241634 360483268 450604085 901208170 1171570621 1802416340 2343141242 4686282484 5857853105 11715706210 23431412420