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3003015135140 = 2253767599101117
BaseRepresentation
bin101011101100110001101…
…001100111111110100100
3101122002022021210000021222
4223230301221213332210
5343200133333311030
610215322140155512
7426650341324406
oct53546151477644
911562267700258
103003015135140
11a586318343a9
12406007838b98
1318a24c3b3437
14a54bd51cb76
15531ae2c73e5
hex2bb31a67fa4

3003015135140 has 96 divisors (see below), whose sum is σ = 6584480582400. Its totient is φ = 1149363730944.

The previous prime is 3003015135119. The next prime is 3003015135157. The reversal of 3003015135140 is 415315103003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29647862 + ... + 29748978.

It is an arithmetic number, because the mean of its divisors is an integer number (68588339400).

Almost surely, 23003015135140 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 3003015135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292240291200).

3003015135140 is an abundant number, since it is smaller than the sum of its proper divisors (3581465447260).

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

3003015135140 is a wasteful number, since it uses less digits than its factorization.

3003015135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101829 (or 101827 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 3003015135140 in words is "three trillion, three billion, fifteen million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 268 335 370 599 670 740 1198 1340 2396 2479 2995 4958 5990 9916 11980 12395 22163 24790 40133 44326 49580 80266 88652 101117 110815 160532 200665 202234 221630 401330 404468 443260 505585 802660 1011170 1484921 2022340 2969842 3741329 5939684 6774839 7424605 7482658 13549678 14849210 14965316 18706645 27099356 29698420 33874195 37413290 60569083 67748390 74826580 121138166 135496780 242276332 250669043 302845415 501338086 605690830 1002676172 1211381660 1253345215 2241056071 2506690430 4058128561 4482112142 5013380860 8116257122 8964224284 11205280355 16232514244 20290642805 22410560710 40581285610 44821121420 81162571220 150150756757 300301513514 600603027028 750753783785 1501507567570 3003015135140