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149045865454080 = 2933571731584531
BaseRepresentation
bin100001111000111001110001…
…110111011001101000000000
3201112201122102121222211211000
4201320321301313121220000
5124013431413024012310
61244554420401252000
743252131330010350
oct4170716167315000
9645648377884730
10149045865454080
1143543aa6481921
1214872106934000
136521c708a0a1a
1428b3c03568b60
1512370595ac4c0
hex878e71dd9a00

149045865454080 has 1280 divisors, whose sum is σ = 661313878917120. Its totient is φ = 31029284044800.

The previous prime is 149045865454051. The next prime is 149045865454081. The reversal of 149045865454080 is 80454568540941.

149045865454080 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 4 + 5 + 8 + 6 + 5 + 4 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 149045865453999 and 149045865454017.

It is not an unprimeable number, because it can be changed into a prime (149045865454081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254691415 + ... + 255275945.

It is an arithmetic number, because the mean of its divisors is an integer number (516651467904).

Almost surely, 2149045865454080 is an apocalyptic number.

149045865454080 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 149045865454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330656939458560).

149045865454080 is an abundant number, since it is smaller than the sum of its proper divisors (512268013463040).

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

149045865454080 is a wasteful number, since it uses less digits than its factorization.

149045865454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584618 (or 584596 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 149045865454080 in words is "one hundred forty-nine trillion, forty-five billion, eight hundred sixty-five million, four hundred fifty-four thousand, eighty".