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141243936 = 2533121531
BaseRepresentation
bin10000110101100…
…11011000100000
3100211202221020220
420122303120200
5242124301221
622003203040
73333360621
oct1032633040
9324687226
10141243936
1172801729
123b376480
13233545c2
1414a89a48
15c6000c6
hex86b3620

141243936 has 72 divisors (see below), whose sum is σ = 383361552. Its totient is φ = 45532800.

The previous prime is 141243923. The next prime is 141243941. The reversal of 141243936 is 639342141.

It is a junction number, because it is equal to n+sod(n) for n = 141243897 and 141243906.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 91491 + ... + 93021.

It is an arithmetic number, because the mean of its divisors is an integer number (5324466).

Almost surely, 2141243936 is an apocalyptic number.

141243936 is a gapful number since it is divisible by the number (16) 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 141243936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191680776).

141243936 is an abundant number, since it is smaller than the sum of its proper divisors (242117616).

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

141243936 is a wasteful number, since it uses less digits than its factorization.

141243936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1567 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 141243936 is about 11884.6092068692. The cubic root of 141243936 is about 520.7827658696.

The spelling of 141243936 in words is "one hundred forty-one million, two hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1531 1922 2883 2976 3062 3844 4593 5766 6124 7688 9186 11532 12248 15376 18372 23064 24496 30752 36744 46128 47461 48992 73488 92256 94922 142383 146976 189844 284766 379688 569532 759376 1139064 1471291 1518752 2278128 2942582 4413873 4556256 5885164 8827746 11770328 17655492 23540656 35310984 47081312 70621968 141243936