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141109272 = 233231191331
BaseRepresentation
bin10000110100100…
…10100000011000
3100211112002112100
420122102200120
5242110444042
622000243400
73332260203
oct1032224030
9324462470
10141109272
117271a537
123b310560
1323308215
1414a5293a
15c5c524c
hex8692818

141109272 has 96 divisors (see below), whose sum is σ = 397762560. Its totient is φ = 45144000.

The previous prime is 141109259. The next prime is 141109291. The reversal of 141109272 is 272901141.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426147 + ... + 426477.

It is an arithmetic number, because the mean of its divisors is an integer number (4143360).

Almost surely, 2141109272 is an apocalyptic number.

141109272 is a gapful number since it is divisible by the number (12) 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 141109272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198881280).

141109272 is an abundant number, since it is smaller than the sum of its proper divisors (256653288).

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

141109272 is a wasteful number, since it uses less digits than its factorization.

141109272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 141109272 is about 11878.9423771647. The cubic root of 141109272 is about 520.6172059830.

The spelling of 141109272 in words is "one hundred forty-one million, one hundred nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 191 248 279 331 372 382 558 573 662 744 764 993 1116 1146 1324 1528 1719 1986 2232 2292 2648 2979 3438 3972 4584 5921 5958 6876 7944 10261 11842 11916 13752 17763 20522 23684 23832 30783 35526 41044 47368 53289 61566 63221 71052 82088 92349 106578 123132 126442 142104 184698 189663 213156 246264 252884 369396 379326 426312 505768 568989 738792 758652 1137978 1517304 1959851 2275956 3919702 4551912 5879553 7839404 11759106 15678808 17638659 23518212 35277318 47036424 70554636 141109272