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123232031440 = 2457220057199
BaseRepresentation
bin111001011000100110…
…0111001001011010000
3102210002020210211010121
41302301030321023100
54004334400001230
6132340110040024
711621542661410
oct1626114711320
9383066724117
10123232031440
11482982a6191
121ba721a9014
13b80b98c6cb
145d706ac640
153313ace77a
hex1cb13392d0

123232031440 has 40 divisors (see below), whose sum is σ = 327445113600. Its totient is φ = 42250982016.

The previous prime is 123232031431. The next prime is 123232031449. The reversal of 123232031440 is 44130232321.

It is an interprime number because it is at equal distance from previous prime (123232031431) and next prime (123232031449).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1232320314402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123232031449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110028040 + ... + 110029159.

It is an arithmetic number, because the mean of its divisors is an integer number (8186127840).

Almost surely, 2123232031440 is an apocalyptic number.

123232031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123232031440 is an abundant number, since it is smaller than the sum of its proper divisors (204213082160).

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

123232031440 is a wasteful number, since it uses less digits than its factorization.

123232031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220057219 (or 220057213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 123232031440 its reverse (44130232321), we get a palindrome (167362263761).

The spelling of 123232031440 in words is "one hundred twenty-three billion, two hundred thirty-two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 220057199 440114398 880228796 1100285995 1540400393 1760457592 2200571990 3080800786 3520915184 4401143980 6161601572 7702001965 8802287960 12323203144 15404003930 17604575920 24646406288 30808007860 61616015720 123232031440