Search a number
-
+
12313243232040 = 2335937110949777
BaseRepresentation
bin1011001100101110011001…
…1111010010011100101000
31121121010122002111000122010
42303023212133102130220
53103220010231411130
642104343103355520
72410413434365662
oct263134637223450
947533562430563
1012313243232040
113a18020887373
12146a4802b2ba0
136b419810316a
14307d6d8c3532
1516546807a0b0
hexb32e67d2728

12313243232040 has 64 divisors (see below), whose sum is σ = 36943674989760. Its totient is φ = 3283180835840.

The previous prime is 12313243231951. The next prime is 12313243232057. The reversal of 12313243232040 is 4023234231321.

It is a happy number.

It is a super-3 number, since 3×123132432320403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12313243231989 and 12313243232007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350369 + ... + 6599408.

It is an arithmetic number, because the mean of its divisors is an integer number (577244921715).

Almost surely, 212313243232040 is an apocalyptic number.

12313243232040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313243232040 is an abundant number, since it is smaller than the sum of its proper divisors (24630431757720).

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

12313243232040 is a wasteful number, since it uses less digits than its factorization.

12313243232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959162 (or 10959158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12313243232040 its reverse (4023234231321), we get a palindrome (16336477463361).

The spelling of 12313243232040 in words is "twelve trillion, three hundred thirteen billion, two hundred forty-three million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9371 18742 28113 37484 46855 56226 74968 93710 112452 140565 187420 224904 281130 374840 562260 1124520 10949777 21899554 32849331 43799108 54748885 65698662 87598216 109497770 131397324 164246655 218995540 262794648 328493310 437991080 656986620 1313973240 102610360267 205220720534 307831080801 410441441068 513051801335 615662161602 820882882136 1026103602670 1231324323204 1539155404005 2052207205340 2462648646408 3078310808010 4104414410680 6156621616020 12313243232040