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141196440 = 233572113759
BaseRepresentation
bin10000110101001…
…11110010011000
3100211200112002210
420122213302120
5242121241230
622002155120
73333102300
oct1032476230
9324615083
10141196440
1172779a80
123b352aa0
1323338ab8
1414a76600
15c5e0eb0
hex86a7c98

141196440 has 384 divisors, whose sum is σ = 561427200. Its totient is φ = 28062720.

The previous prime is 141196439. The next prime is 141196469. The reversal of 141196440 is 44691141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141196398 and 141196407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393131 + ... + 2393189.

It is an arithmetic number, because the mean of its divisors is an integer number (1462050).

Almost surely, 2141196440 is an apocalyptic number.

141196440 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 141196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280713600).

141196440 is an abundant number, since it is smaller than the sum of its proper divisors (420230760).

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

141196440 is a wasteful number, since it uses less digits than its factorization.

141196440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 141196440 is about 11882.6108242255. The cubic root of 141196440 is about 520.7243849059.

The spelling of 141196440 in words is "one hundred forty-one million, one hundred ninety-six thousand, four hundred forty".