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3335006640240 = 2432511421086697
BaseRepresentation
bin110000100001111101111…
…000101101100001110000
3102210211020100100212211100
4300201331320231201300
5414120043144441430
611032025250244400
7462642400500162
oct60417570554160
912724210325740
103335006640240
111076406339a10
1245a41ab86700
131b264a068a02
14b75b5392932
155bb40345960
hex3087de2d870

3335006640240 has 120 divisors (see below), whose sum is σ = 12218251629168. Its totient is φ = 808486456320.

The previous prime is 3335006640239. The next prime is 3335006640241. The reversal of 3335006640240 is 420466005333.

3335006640240 is a `hidden beast` number, since 3 + 3 + 3 + 5 + 0 + 0 + 6 + 640 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3335006640239) and next prime (3335006640241).

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

It is a super-2 number, since 2×33350066402402 (a number of 26 digits) contains 22 as substring.

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 = 3335006640195 and 3335006640204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335006640241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210535429 + ... + 210551268.

Almost surely, 23335006640240 is an apocalyptic number.

3335006640240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3335006640240 is an abundant number, since it is smaller than the sum of its proper divisors (8883244988928).

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

3335006640240 is a wasteful number, since it uses less digits than its factorization.

3335006640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421086727 (or 421086718 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 3335006640240 in words is "three trillion, three hundred thirty-five billion, six million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 421086697 842173394 1263260091 1684346788 2105433485 2526520182 3368693576 3789780273 4210866970 4631953667 5053040364 6316300455 6737387152 7579560546 8421733940 9263907334 10106080728 12632600910 13895861001 15159121092 16843467880 18527814668 18948901365 20212161456 23159768335 25265201820 27791722002 30318242184 33686935760 37055629336 37897802730 41687583003 46319536670 50530403640 55583444004 60636484368 69479305005 74111258672 75795605460 83375166006 92639073340 101060807280 111166888008 138958610010 151591210920 166750332012 185278146680 208437915015 222333776016 277917220020 303182421840 333500664024 370556293360 416875830030 555834440040 667001328048 833751660060 1111668880080 1667503320120 3335006640240