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144112373730 = 232513615993371
BaseRepresentation
bin1000011000110111000…
…1000100111111100010
3111202222102212002222100
42012031301010333202
54330120231424410
6150112044151230
713261144652043
oct2061561047742
9452872762870
10144112373730
1156132750416
1223b1ab38516
131078886a330
146d918748ca
153b36c928c0
hex218dc44fe2

144112373730 has 192 divisors, whose sum is σ = 410936198400. Its totient is φ = 34823692800.

The previous prime is 144112373653. The next prime is 144112373737. The reversal of 144112373730 is 37373211441.

144112373730 is a `hidden beast` number, since 1 + 4 + 411 + 237 + 3 + 7 + 3 + 0 = 666.

It is a super-2 number, since 2×1441123737302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144112373737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42748945 + ... + 42752315.

It is an arithmetic number, because the mean of its divisors is an integer number (2140292700).

Almost surely, 2144112373730 is an apocalyptic number.

144112373730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144112373730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205468099200).

144112373730 is an abundant number, since it is smaller than the sum of its proper divisors (266823824670).

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

144112373730 is a wasteful number, since it uses less digits than its factorization.

144112373730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 144112373730 in words is "one hundred forty-four billion, one hundred twelve million, three hundred seventy-three thousand, seven hundred thirty".