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15420041280 = 26365721971
BaseRepresentation
bin11100101110001101…
…10010100001000000
31110210122112021000000
432113012302201000
5223040012310110
611030041000000
71054060121400
oct162706624100
943718467000
1015420041280
1165a3236276
122ba4183000
1315b98867a7
14a63d24800
15603b361c0
hex3971b2840

15420041280 has 1176 divisors, whose sum is σ = 68361641280. Its totient is φ = 3292047360.

The previous prime is 15420041257. The next prime is 15420041281. The reversal of 15420041280 is 8214002451.

15420041280 is a `hidden beast` number, since 1 + 542 + 0 + 0 + 41 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15420041281) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 217183645 + ... + 217183715.

Almost surely, 215420041280 is an apocalyptic number.

15420041280 is a gapful number since it is divisible by the number (10) 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 15420041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34180820640).

15420041280 is an abundant number, since it is smaller than the sum of its proper divisors (52941600000).

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

15420041280 is an equidigital number, since it uses as much as digits as its factorization.

15420041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 15420041280 in words is "fifteen billion, four hundred twenty million, forty-one thousand, two hundred eighty".