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141223440 = 24351813251
BaseRepresentation
bin10000110101011…
…10011000010000
3100211201220010210
420122232120100
5242123122230
622002524120
73333244101
oct1032563020
9324656123
10141223440
1172798296
123b366640
1323348187
1414a823a8
15c5e8eb0
hex86ae610

141223440 has 80 divisors (see below), whose sum is σ = 440346816. Its totient is φ = 37440000.

The previous prime is 141223361. The next prime is 141223463. The reversal of 141223440 is 44322141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41815 + ... + 45065.

Almost surely, 2141223440 is an apocalyptic number.

141223440 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 141223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220173408).

141223440 is an abundant number, since it is smaller than the sum of its proper divisors (299123376).

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

141223440 is a wasteful number, since it uses less digits than its factorization.

141223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141223440 is about 11883.7468838746. The cubic root of 141223440 is about 520.7575742750.

Adding to 141223440 its reverse (44322141), we get a palindrome (185545581).

The spelling of 141223440 in words is "one hundred forty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3251 3620 4344 5430 6502 7240 8688 9753 10860 13004 14480 16255 19506 21720 26008 32510 39012 43440 48765 52016 65020 78024 97530 130040 156048 195060 260080 390120 588431 780240 1176862 1765293 2353724 2942155 3530586 4707448 5884310 7061172 8826465 9414896 11768620 14122344 17652930 23537240 28244688 35305860 47074480 70611720 141223440