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3142888488882 = 233414352316311
BaseRepresentation
bin101101101111000010110…
…000000111111110110010
3102010110100022011121001000
4231233002300013332302
5402443113423121012
610403453435422430
7443031464241552
oct55570260077662
912113308147030
103142888488882
11100198968730a
12429142bb4a16
1319a4b09622cc
14ac18bdc1162
1556b48d2dddc
hex2dbc2c07fb2

3142888488882 has 128 divisors (see below), whose sum is σ = 7323487395840. Its totient is φ = 997959312000.

The previous prime is 3142888488853. The next prime is 3142888488889. The reversal of 3142888488882 is 2888848882413.

3142888488882 is a `hidden beast` number, since 3 + 1 + 428 + 8 + 8 + 48 + 88 + 82 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3142888488882.

It is not an unprimeable number, because it can be changed into a prime (3142888488889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497998507 + ... + 498004817.

It is an arithmetic number, because the mean of its divisors is an integer number (57214745280).

Almost surely, 23142888488882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142888488882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661743697920).

3142888488882 is an abundant number, since it is smaller than the sum of its proper divisors (4180598906958).

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

3142888488882 is a wasteful number, since it uses less digits than its factorization.

3142888488882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11631 counting only the distinct ones).

The product of its digits is 402653184, while the sum is 72.

The spelling of 3142888488882 in words is "three trillion, one hundred forty-two billion, eight hundred eighty-eight million, four hundred eighty-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 41 43 54 82 86 123 129 246 258 369 387 738 774 1107 1161 1763 2214 2322 3526 5231 5289 6311 10462 10578 12622 15693 15867 18933 31386 31734 37866 47079 47601 56799 94158 95202 113598 141237 170397 214471 224933 258751 271373 282474 340794 428942 449866 517502 542746 643413 674799 776253 814119 1286826 1349598 1552506 1628238 1930239 2024397 2328759 2442357 3860478 4048794 4657518 4884714 5790717 6073191 6986277 7327071 9222253 11126293 11581434 12146382 13972554 14654142 18444506 22252586 27666759 33012841 33378879 55333518 66025682 66757758 83000277 99038523 100136637 166000554 198077046 200273274 249000831 297115569 300409911 498001662 594231138 600819822 891346707 1353526481 1419552163 1782693414 2707052962 2839104326 4060579443 4258656489 8121158886 8517312978 12181738329 12775969467 24363476658 25551938934 36545214987 38327908401 58201638683 73090429974 76655816802 116403277366 174604916049 349209832098 523814748147 1047629496294 1571444244441 3142888488882