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3345115241000 = 2353131032498219
BaseRepresentation
bin110000101011011000011…
…001111101101000101000
3102211210022211111000012002
4300223120121331220220
5414301244000203000
611040420312510132
7463451034255341
oct60533031755050
912753284430162
103345115241000
11107a72338a315
124603803ab348
131b359b3bb690
14b7c93b050c8
155c032a068d5
hex30ad867da28

3345115241000 has 128 divisors (see below), whose sum is σ = 8511535468800. Its totient is φ = 1223127532800.

The previous prime is 3345115240997. The next prime is 3345115241009. The reversal of 3345115241000 is 1425115433.

It is a super-2 number, since 2×33451152410002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345115241009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89891 + ... + 2588109.

It is an arithmetic number, because the mean of its divisors is an integer number (66496370850).

Almost surely, 23345115241000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345115241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255767734400).

3345115241000 is an abundant number, since it is smaller than the sum of its proper divisors (5166420227800).

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

3345115241000 is a wasteful number, since it uses less digits than its factorization.

3345115241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498356 (or 2498342 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 3345115241000 in words is "three trillion, three hundred forty-five billion, one hundred fifteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 125 130 200 206 250 260 325 412 500 515 520 650 824 1000 1030 1300 1339 1625 2060 2575 2600 2678 3250 4120 5150 5356 6500 6695 10300 10712 12875 13000 13390 20600 25750 26780 33475 51500 53560 66950 103000 133900 167375 267800 334750 669500 1339000 2498219 4996438 9992876 12491095 19985752 24982190 32476847 49964380 62455475 64953694 99928760 124910950 129907388 162384235 249821900 257316557 259814776 312277375 324768470 499643800 514633114 624554750 649536940 811921175 1029266228 1249109500 1286582785 1299073880 1623842350 2058532456 2498219000 2573165570 3247684700 3345115241 4059605875 5146331140 6432913925 6495369400 6690230482 8119211750 10292662280 12865827850 13380460964 16238423500 16725576205 25731655700 26760921928 32164569625 32476847000 33451152410 51463311400 64329139250 66902304820 83627881025 128658278500 133804609640 167255762050 257316557000 334511524100 418139405125 669023048200 836278810250 1672557620500 3345115241000