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140041433100 = 223522578232207
BaseRepresentation
bin1000001001101100011…
…1101011000000001100
3111101110201122220021110
42002123013223000030
54243301101324400
6144200101532020
713055233353342
oct2023307530014
9441421586243
10140041433100
1154433813478
1223183714010
131028a33ac1a
146ac6d35992
1539996a7e50
hex209b1eb00c

140041433100 has 144 divisors (see below), whose sum is σ = 407441922048. Its totient is φ = 37137039360.

The previous prime is 140041433033. The next prime is 140041433113. The reversal of 140041433100 is 1334140041.

It is a super-2 number, since 2×1400414331002 (a number of 23 digits) contains 22 as substring.

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, 63452197 + ... + 63454403.

It is an arithmetic number, because the mean of its divisors is an integer number (2829457792).

Almost surely, 2140041433100 is an apocalyptic number.

140041433100 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 140041433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203720961024).

140041433100 is an abundant number, since it is smaller than the sum of its proper divisors (267400488948).

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

140041433100 is a wasteful number, since it uses less digits than its factorization.

140041433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 140041433100 its reverse (1334140041), we get a palindrome (141375573141).

The spelling of 140041433100 in words is "one hundred forty billion, forty-one million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 823 1028 1285 1542 1646 2207 2469 2570 3084 3292 3855 4115 4414 4938 5140 6425 6621 7710 8230 8828 9876 11035 12345 12850 13242 15420 16460 19275 20575 22070 24690 25700 26484 33105 38550 41150 44140 49380 55175 61725 66210 77100 82300 110350 123450 132420 165525 211511 220700 246900 331050 423022 567199 634533 662100 846044 1057555 1134398 1269066 1701597 1816361 2115110 2268796 2538132 2835995 3172665 3403194 3632722 4230220 5287775 5449083 5671990 6345330 6806388 7265444 8507985 9081805 10575550 10898166 11343980 12690660 14179975 15863325 17015970 18163610 21151100 21796332 27245415 28359950 31726650 34031940 36327220 42539925 45409025 54490830 56719900 63453300 85079850 90818050 108981660 136227075 170159700 181636100 272454150 466804777 544908300 933609554 1400414331 1867219108 2334023885 2800828662 4668047770 5601657324 7002071655 9336095540 11670119425 14004143310 23340238850 28008286620 35010358275 46680477700 70020716550 140041433100