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15042355104312 = 2332911229332161
BaseRepresentation
bin1101101011100101001000…
…1110111000101000111000
31222021000221120221121111200
43122321102032320220320
53432423220401314222
651554210150254200
73111526403505534
oct332712216705070
958230846847450
1015042355104312
11487a477337318
12182b386357360
1385164619b993
143a00a7b76bc4
151b1445ca4eac
hexdae523b8a38

15042355104312 has 48 divisors (see below), whose sum is σ = 40784431690080. Its totient is φ = 5008614374400.

The previous prime is 15042355104307. The next prime is 15042355104349. The reversal of 15042355104312 is 21340155324051.

15042355104312 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 235 + 5 + 104 + 312 = 666.

15042355104312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114600489 + ... + 114731672.

It is an arithmetic number, because the mean of its divisors is an integer number (849675660210).

Almost surely, 215042355104312 is an apocalyptic number.

15042355104312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15042355104312 is an abundant number, since it is smaller than the sum of its proper divisors (25742076585768).

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

15042355104312 is a wasteful number, since it uses less digits than its factorization.

15042355104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229333084 (or 229333077 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 15042355104312 in words is "fifteen trillion, forty-two billion, three hundred fifty-five million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 911 1822 2733 3644 5466 7288 8199 10932 16398 21864 32796 65592 229332161 458664322 687996483 917328644 1375992966 1834657288 2063989449 2751985932 4127978898 5503971864 8255957796 16511915592 208921598671 417843197342 626764796013 835686394684 1253529592026 1671372789368 1880294388039 2507059184052 3760588776078 5014118368104 7521177552156 15042355104312