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123351405015140 = 22529732913353921
BaseRepresentation
bin11100000010111111111100…
…101011011011000001100100
3121011202021112111120200012022
4130002333330223123001210
5112131442134140441030
61114202504141242312
734660562543610461
oct3402777453330144
9534667474520168
10123351405015140
1136338045403975
1211a023b3b63398
1353a9cab9415a3
142266350254668
15e3d9be433de5
hex702ffcadb064

123351405015140 has 48 divisors (see below), whose sum is σ = 271641119687280. Its totient is φ = 46986572021760.

The previous prime is 123351405014983. The next prime is 123351405015149. The reversal of 123351405015140 is 41510504153321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5127579821056 + 118223825194084 = 2264416^2 + 10873078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123351405015140.

It is not an unprimeable number, because it can be changed into a prime (123351405015149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456634621 + ... + 1456719300.

It is an arithmetic number, because the mean of its divisors is an integer number (5659189993485).

Almost surely, 2123351405015140 is an apocalyptic number.

123351405015140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123351405015140 is an abundant number, since it is smaller than the sum of its proper divisors (148289714672140).

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

123351405015140 is a wasteful number, since it uses less digits than its factorization.

123351405015140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913354032 (or 2913354030 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 123351405015140 its reverse (41510504153321), we get a palindrome (164861909168461).

The spelling of 123351405015140 in words is "one hundred twenty-three trillion, three hundred fifty-one billion, four hundred five million, fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2117 4234 8468 10585 21170 42340 2913353921 5826707842 11653415684 14566769605 29133539210 58267078420 84487263709 168974527418 212674836233 337949054836 422436318545 425349672466 844872637090 850699344932 1063374181165 1689745274180 2126748362330 4253496724660 6167570250757 12335140501514 24670281003028 30837851253785 61675702507570 123351405015140