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141286950 = 23352714951
BaseRepresentation
bin10000110101111…
…01111000100110
3100211212010021000
420122331320212
5242132140300
622004134130
73333630210
oct1032757046
9324763230
10141286950
1172830a82
123b397346
132336b05c
1414a9b5b0
15c60cc00
hex86bde26

141286950 has 96 divisors (see below), whose sum is σ = 444971520. Its totient is φ = 32292000.

The previous prime is 141286939. The next prime is 141286961. The reversal of 141286950 is 59682141.

It is an interprime number because it is at equal distance from previous prime (141286939) and next prime (141286961).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975 + ... + 16925.

It is an arithmetic number, because the mean of its divisors is an integer number (4635120).

Almost surely, 2141286950 is an apocalyptic number.

141286950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141286950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222485760).

141286950 is an abundant number, since it is smaller than the sum of its proper divisors (303684570).

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

141286950 is a wasteful number, since it uses less digits than its factorization.

141286950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 141286950 is about 11886.4187205398. The cubic root of 141286950 is about 520.8356263721.

The spelling of 141286950 in words is "one hundred forty-one million, two hundred eighty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 14951 29902 44853 74755 89706 104657 134559 149510 209314 224265 269118 313971 373775 403677 448530 523285 627942 672795 747550 807354 941913 1046570 1121325 1345590 1569855 1883826 2018385 2242650 2616425 2825739 3139710 3363975 4036770 4709565 5232850 5651478 6727950 7849275 9419130 10091925 14128695 15698550 20183850 23547825 28257390 47095650 70643475 141286950