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144855923940 = 2234571329311093
BaseRepresentation
bin1000011011101000010…
…1011111110011100100
3111211220020222101010000
42012322011133303210
54333131104031230
6150313525101300
713315444015650
oct2067205376344
9454806871100
10144855923940
1156484435722
12240a7b57830
1310876917180
147022507a60
153b7c1b8b60
hex21ba15fce4

144855923940 has 960 divisors, whose sum is σ = 597779804160. Its totient is φ = 28531077120.

The previous prime is 144855923887. The next prime is 144855923959. The reversal of 144855923940 is 49329558441.

It is a happy number.

144855923940 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 5 + 592 + 3 + 9 + 40 = 666.

It is a super-2 number, since 2×1448559239402 (a number of 23 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 132530034 + ... + 132531126.

It is an arithmetic number, because the mean of its divisors is an integer number (622687296).

Almost surely, 2144855923940 is an apocalyptic number.

144855923940 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 144855923940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298889902080).

144855923940 is an abundant number, since it is smaller than the sum of its proper divisors (452923880220).

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

144855923940 is a wasteful number, since it uses less digits than its factorization.

144855923940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 144855923940 in words is "one hundred forty-four billion, eight hundred fifty-five million, nine hundred twenty-three thousand, nine hundred forty".