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141383616 = 2631166943
BaseRepresentation
bin10000110110101…
…01011111000000
3100212001000212020
420123111133000
5242143233431
622010201440
73334512063
oct1033253700
9325030766
10141383616
1172897670
123b423280
13233a305a
1414ac48da
15c62b696
hex86d57c0

141383616 has 56 divisors (see below), whose sum is σ = 408090624. Its totient is φ = 42842880.

The previous prime is 141383609. The next prime is 141383633. The reversal of 141383616 is 616383141.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 31360 + ... + 35583.

Almost surely, 2141383616 is an apocalyptic number.

141383616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141383616 is an abundant number, since it is smaller than the sum of its proper divisors (266707008).

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

141383616 is a wasteful number, since it uses less digits than its factorization.

141383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66969 (or 66959 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 141383616 is about 11890.4842626362. The cubic root of 141383616 is about 520.9543814278.

The spelling of 141383616 in words is "one hundred forty-one million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 66943 133886 200829 267772 401658 535544 736373 803316 1071088 1472746 1606632 2142176 2209119 2945492 3213264 4284352 4418238 5890984 6426528 8836476 11781968 12853056 17672952 23563936 35345904 47127872 70691808 141383616