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145887310980 = 223354710355807
BaseRepresentation
bin1000011111011110001…
…1111011010010000100
3111221120010201021011000
42013313203323102010
54342234122422410
6151004131213300
713353136453155
oct2076743732204
9457503637130
10145887310980
1156963647004
1224335447230
13109ac4c3768
1470bd4a592c
153bdc9e9dc0
hex21f78fb484

145887310980 has 192 divisors, whose sum is σ = 468037140480. Its totient is φ = 37705212288.

The previous prime is 145887310967. The next prime is 145887310981. The reversal of 145887310980 is 89013788541.

145887310980 is a `hidden beast` number, since 1 + 458 + 8 + 7 + 3 + 109 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145887310981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2586237 + ... + 2642043.

It is an arithmetic number, because the mean of its divisors is an integer number (2437693440).

Almost surely, 2145887310980 is an apocalyptic number.

145887310980 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 145887310980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234018570240).

145887310980 is an abundant number, since it is smaller than the sum of its proper divisors (322149829500).

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

145887310980 is a wasteful number, since it uses less digits than its factorization.

145887310980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55975 (or 55967 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 145887310980 in words is "one hundred forty-five billion, eight hundred eighty-seven million, three hundred ten thousand, nine hundred eighty".