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4378144140 = 22325372109163
BaseRepresentation
bin1000001001111010…
…10010110110001100
3102022010020202200200
410010331102312030
532431301103030
62002234453500
7213331416426
oct40475226614
912263222620
104378144140
111947391547
12a22294290
1354a07cc46
142d7669816
151a956cd60
hex104f52d8c

4378144140 has 216 divisors, whose sum is σ = 13858724880. Its totient is φ = 1118624256.

The previous prime is 4378144097. The next prime is 4378144157. The reversal of 4378144140 is 414418734.

It is a happy number.

4378144140 is a `hidden beast` number, since 4 + 378 + 144 + 140 = 666.

It is a super-2 number, since 2×43781441402 = 38336292221232679200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4378144095 and 4378144104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26859699 + ... + 26859861.

Almost surely, 24378144140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4378144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929362440).

4378144140 is an abundant number, since it is smaller than the sum of its proper divisors (9480580740).

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

4378144140 is a wasteful number, since it uses less digits than its factorization.

4378144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4378144140 is about 66167.5459723269. The cubic root of 4378144140 is about 1635.9248590058.

The spelling of 4378144140 in words is "four billion, three hundred seventy-eight million, one hundred forty-four thousand, one hundred forty".