Search a number
-
+
34871009040 = 2432576918851
BaseRepresentation
bin100000011110011110…
…010101111100010000
310100000012221210121100
4200132132111330100
51032403434242130
624004114424400
72343064454250
oct403636257420
9110005853540
1034871009040
111387485923a
126912292100
13339959c57a
14198b32d960
15d915a0c60
hex81e795f10

34871009040 has 120 divisors (see below), whose sum is σ = 133838273088. Its totient is φ = 7970515200.

The previous prime is 34871009003. The next prime is 34871009071. The reversal of 34871009040 is 4090017843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34871008986 and 34871009004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454386 + ... + 3464465.

Almost surely, 234871009040 is an apocalyptic number.

34871009040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34871009040 is an abundant number, since it is smaller than the sum of its proper divisors (98967264048).

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

34871009040 is a wasteful number, since it uses less digits than its factorization.

34871009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918877 (or 6918868 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 34871009040 in words is "thirty-four billion, eight hundred seventy-one million, nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 6918851 13837702 20756553 27675404 34594255 41513106 48431957 55350808 62269659 69188510 83026212 96863914 103782765 110701616 124539318 138377020 145295871 166052424 193727828 207565530 242159785 249078636 276754040 290591742 311348295 332104848 387455656 415131060 435887613 484319570 498157272 553508080 581183484 622696590 726479355 774911312 830262120 871775226 968639140 996314544 1162366968 1245393180 1452958710 1660524240 1743550452 1937278280 2179438065 2324733936 2490786360 2905917420 3487100904 3874556560 4358876130 4981572720 5811834840 6974201808 8717752260 11623669680 17435504520 34871009040