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141553440 = 25335731151
BaseRepresentation
bin10000110111111…
…10111100100000
3100212100122211000
420123332330200
5242214202230
622013552000
73336120150
oct1033767440
9325318730
10141553440
11729a3216
123b4a5600
1323432442
1414b2a760
15c661b60
hex86fef20

141553440 has 384 divisors, whose sum is σ = 588349440. Its totient is φ = 31104000.

The previous prime is 141553417. The next prime is 141553457. The reversal of 141553440 is 44355141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937365 + ... + 937515.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2141553440 is an apocalyptic number.

141553440 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 141553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

141553440 is an abundant number, since it is smaller than the sum of its proper divisors (446796000).

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

141553440 is a wasteful number, since it uses less digits than its factorization.

141553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 141553440 is about 11897.6232920697. The cubic root of 141553440 is about 521.1628807354.

The spelling of 141553440 in words is "one hundred forty-one million, five hundred fifty-three thousand, four hundred forty".