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141379344 = 2436172331
BaseRepresentation
bin10000110110101…
…00011100010000
3100212000211000000
420123110130100
5242143114334
622010130000
73334463451
oct1033243420
9325024000
10141379344
1172894437
123b420900
13233a1122
1414ac3128
15c62a299
hex86d4710

141379344 has 280 divisors, whose sum is σ = 468398592. Its totient is φ = 41057280.

The previous prime is 141379339. The next prime is 141379349. The reversal of 141379344 is 443973141.

It is an interprime number because it is at equal distance from previous prime (141379339) and next prime (141379349).

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 = 141379299 and 141379308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141379349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4560609 + ... + 4560639.

Almost surely, 2141379344 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 141379344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234199296).

141379344 is an abundant number, since it is smaller than the sum of its proper divisors (327019248).

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

141379344 is a wasteful number, since it uses less digits than its factorization.

141379344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 141379344 is about 11890.3046218337. The cubic root of 141379344 is about 520.9491343805.

The spelling of 141379344 in words is "one hundred forty-one million, three hundred seventy-nine thousand, three hundred forty-four".