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123507461340 = 22335228717521
BaseRepresentation
bin111001100000110011…
…1100100110011011100
3102210210110002002221000
41303001213210303130
54010420402230330
6132423305310300
711631426046134
oct1630147446334
9383713062830
10123507461340
11484198187aa
121bb2a495390
13b853a66b93
145d990c7ac4
15332cd88560
hex1cc19e4cdc

123507461340 has 48 divisors (see below), whose sum is σ = 384245436960. Its totient is φ = 32935322880.

The previous prime is 123507461323. The next prime is 123507461347. The reversal of 123507461340 is 43164705321.

123507461340 is a `hidden beast` number, since 1 + 2 + 35 + 0 + 7 + 4 + 613 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123507461295 and 123507461304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123507461347) 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, 114358221 + ... + 114359300.

It is an arithmetic number, because the mean of its divisors is an integer number (8005113270).

Almost surely, 2123507461340 is an apocalyptic number.

123507461340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123507461340 is an abundant number, since it is smaller than the sum of its proper divisors (260737975620).

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

123507461340 is a wasteful number, since it uses less digits than its factorization.

123507461340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228717539 (or 228717531 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 123507461340 in words is "one hundred twenty-three billion, five hundred seven million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 228717521 457435042 686152563 914870084 1143587605 1372305126 2058457689 2287175210 2744610252 3430762815 4116915378 4574350420 6175373067 6861525630 8233830756 10292288445 12350746134 13723051260 20584576890 24701492268 30876865335 41169153780 61753730670 123507461340