Search a number
-
+
3287138399340 = 2235107512015327
BaseRepresentation
bin101111110101011000101…
…101110111010001101100
3102122020200022211021221020
4233311120231313101230
5412324024412234330
610554031315534140
7456326232244425
oct57653055672154
912566608737836
103287138399340
111058081a27044
1245109bbba350
131aac8bb56703
14b5153c1864c
155a78cbdd210
hex2fd58b7746c

3287138399340 has 48 divisors (see below), whose sum is σ = 9290006111232. Its totient is φ = 868377992896.

The previous prime is 3287138399309. The next prime is 3287138399351. The reversal of 3287138399340 is 439938317823.

It is a super-3 number, since 3×32871383993403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 256001244 + ... + 256014083.

It is an arithmetic number, because the mean of its divisors is an integer number (193541793984).

Almost surely, 23287138399340 is an apocalyptic number.

3287138399340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3287138399340 is an abundant number, since it is smaller than the sum of its proper divisors (6002867711892).

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

3287138399340 is a wasteful number, since it uses less digits than its factorization.

3287138399340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512015446 (or 512015444 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 3287138399340 in words is "three trillion, two hundred eighty-seven billion, one hundred thirty-eight million, three hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 512015327 1024030654 1536045981 2048061308 2560076635 3072091962 5120153270 6144183924 7680229905 10240306540 15360459810 30720919620 54785639989 109571279978 164356919967 219142559956 273928199945 328713839934 547856399890 657427679868 821784599835 1095712799780 1643569199670 3287138399340