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144949308840 = 23345726713627
BaseRepresentation
bin1000011011111110100…
…1101110110110101000
3111212010202200211010000
42012333221232312220
54333324010340330
6150331102423000
713320656540100
oct2067751566650
9455122624100
10144949308840
1156522119126
1224113291a60
13108900829cb
147030a96200
153b854b3560
hex21bfa6eda8

144949308840 has 480 divisors, whose sum is σ = 575232973920. Its totient is φ = 32634379008.

The previous prime is 144949308719. The next prime is 144949308859. The reversal of 144949308840 is 48803949441.

144949308840 is a `hidden beast` number, since 1 + 4 + 494 + 9 + 30 + 88 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10630107 + ... + 10643733.

It is an arithmetic number, because the mean of its divisors is an integer number (1198402029).

Almost surely, 2144949308840 is an apocalyptic number.

144949308840 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 144949308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287616486960).

144949308840 is an abundant number, since it is smaller than the sum of its proper divisors (430283665080).

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

144949308840 is a wasteful number, since it uses less digits than its factorization.

144949308840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 144949308840 in words is "one hundred forty-four billion, nine hundred forty-nine million, three hundred eight thousand, eight hundred forty".