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123340425432 = 23377916075783
BaseRepresentation
bin111001011011110101…
…0011000100011011000
3102210100210202210201220
41302313222120203120
54010100122103212
6132354541212040
711624330214030
oct1626752304330
9383323683656
10123340425432
11483435001a4
121baa2561020
13b828281a73
145d80c468c0
15331d39138c
hex1cb7a988d8

123340425432 has 128 divisors (see below), whose sum is σ = 357145804800. Its totient is φ = 34766379648.

The previous prime is 123340425427. The next prime is 123340425449. The reversal of 123340425432 is 234524043321.

It is a junction number, because it is equal to n+sod(n) for n = 123340425393 and 123340425402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21325213 + ... + 21330995.

It is an arithmetic number, because the mean of its divisors is an integer number (2790201600).

Almost surely, 2123340425432 is an apocalyptic number.

123340425432 is a gapful number since it is divisible by the number (12) 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 123340425432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178572902400).

123340425432 is an abundant number, since it is smaller than the sum of its proper divisors (233805379368).

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

123340425432 is a wasteful number, since it uses less digits than its factorization.

123340425432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 123340425432 its reverse (234524043321), we get a palindrome (357864468753).

The spelling of 123340425432 in words is "one hundred twenty-three billion, three hundred forty million, four hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1607 1659 1896 2212 3214 3318 4424 4821 5783 6428 6636 9642 11249 11566 12856 13272 17349 19284 22498 23132 33747 34698 38568 40481 44996 46264 67494 69396 80962 89992 121443 126953 134988 138792 161924 242886 253906 269976 323848 380859 456857 485772 507812 761718 888671 913714 971544 1015624 1370571 1523436 1777342 1827428 2666013 2741142 3046872 3197999 3554684 3654856 5332026 5482284 6395998 7109368 9293281 9593997 10664052 10964568 12791996 18586562 19187994 21328104 25583992 27879843 37173124 38375988 55759686 65052967 74346248 76751976 111519372 130105934 195158901 223038744 260211868 390317802 520423736 734169199 780635604 1468338398 1561271208 2202507597 2936676796 4405015194 5139184393 5873353592 8810030388 10278368786 15417553179 17620060776 20556737572 30835106358 41113475144 61670212716 123340425432