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35021142240 = 2535710422959
BaseRepresentation
bin100000100111011011…
…000011100011100000
310100101200110100122020
4200213123003203200
51033210403022430
624031040341440
72346566540340
oct404733034340
9110350410566
1035021142240
1113941581567
126954614880
1333c1716c96
1419a3250d20
15d9e859b10
hex8276c38e0

35021142240 has 96 divisors (see below), whose sum is σ = 126076124160. Its totient is φ = 8004831744.

The previous prime is 35021142239. The next prime is 35021142251. The reversal of 35021142240 is 4224112053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35021142240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5208120 + ... + 5214839.

It is an arithmetic number, because the mean of its divisors is an integer number (1313292960).

Almost surely, 235021142240 is an apocalyptic number.

35021142240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35021142240 is an abundant number, since it is smaller than the sum of its proper divisors (91054981920).

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

35021142240 is a wasteful number, since it uses less digits than its factorization.

35021142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422984 (or 10422976 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 35021142240 its reverse (4224112053), we get a palindrome (39245254293).

The spelling of 35021142240 in words is "thirty-five billion, twenty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 10422959 20845918 31268877 41691836 52114795 62537754 72960713 83383672 104229590 125075508 145921426 156344385 166767344 208459180 218882139 250151016 291842852 312688770 333534688 364803565 416918360 437764278 500302032 583685704 625377540 729607130 833836720 875528556 1000604064 1094410695 1167371408 1250755080 1459214260 1667673440 1751057112 2188821390 2334742816 2501510160 2918428520 3502114224 4377642780 5003020320 5836857040 7004228448 8755285560 11673714080 17510571120 35021142240