Search a number
-
+
3142886031747 = 337117237208889
BaseRepresentation
bin101101101111000010100…
…110110000000110000011
3102010110100010112202111000
4231233002212300012003
5402443112311003442
610403453311023043
7443031434326110
oct55570246600603
912113303482430
103142886031747
111001988259220
1242914220aa83
1319a4b02b1a97
14ac18b941907
1556b489e5d4c
hex2dbc29b0183

3142886031747 has 64 divisors (see below), whose sum is σ = 5805871948800. Its totient is φ = 1632434653440.

The previous prime is 3142886031721. The next prime is 3142886031787. The reversal of 3142886031747 is 7471306882413.

3142886031747 is a `hidden beast` number, since 3 + 1 + 4 + 28 + 8 + 603 + 1 + 7 + 4 + 7 = 666.

It is not a de Polignac number, because 3142886031747 - 216 = 3142885966211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3142886031693 and 3142886031702.

It is not an unprimeable number, because it can be changed into a prime (3142886031787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14941279 + ... + 15150167.

It is an arithmetic number, because the mean of its divisors is an integer number (90716749200).

Almost surely, 23142886031747 is an apocalyptic number.

3142886031747 is a deficient number, since it is larger than the sum of its proper divisors (2662985917053).

3142886031747 is a wasteful number, since it uses less digits than its factorization.

3142886031747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216153 (or 216147 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3142886031747 in words is "three trillion, one hundred forty-two billion, eight hundred eighty-six million, thirty-one thousand, seven hundred forty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 7237 21711 50659 65133 79607 151977 195399 208889 238821 455931 557249 626667 716463 1367793 1462223 1671747 1880001 2149389 2297779 4386669 5015241 5640003 6893337 13160007 15045723 16084453 20680011 39480021 48253359 62040033 144760077 434280231 1511729693 4535189079 10582107851 13605567237 16629026623 31746323553 40816701711 49887079869 95238970659 116403186361 149661239607 285716911977 349209559083 448983718821 1047628677249 3142886031747