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1142210414202 = 23111310116380863
BaseRepresentation
bin10000100111110001000…
…010111100011001111010
311001012020121101222110220
4100213301002330121322
5122203221331223302
62232420233120510
7145344016220424
oct20476102743172
94035217358426
101142210414202
11400455001a30
1216544bb59136
138392ca97420
143d3d7463814
151eaa15604bc
hex109f10bc67a

1142210414202 has 128 divisors (see below), whose sum is σ = 2727029071872. Its totient is φ = 314391456000.

The previous prime is 1142210414201. The next prime is 1142210414237. The reversal of 1142210414202 is 2024140122411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1142210414201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14084823 + ... + 14165685.

It is an arithmetic number, because the mean of its divisors is an integer number (21304914624).

Almost surely, 21142210414202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142210414202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363514535936).

1142210414202 is an abundant number, since it is smaller than the sum of its proper divisors (1584818657670).

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

1142210414202 is a wasteful number, since it uses less digits than its factorization.

1142210414202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81156.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1142210414202 its reverse (2024140122411), we get a palindrome (3166350536613).

The spelling of 1142210414202 in words is "one trillion, one hundred forty-two billion, two hundred ten million, four hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 163 202 286 303 326 429 489 606 858 978 1111 1313 1793 2119 2222 2626 3333 3586 3939 4238 5379 6357 6666 7878 10758 12714 14443 16463 23309 28886 32926 43329 46618 49389 69927 80863 86658 98778 139854 161726 181093 214019 242589 362186 428038 485178 543279 642057 889493 1051219 1086558 1284114 1778986 2102438 2354209 2668479 3153657 4708418 5336958 6307314 7062627 8167163 11563409 13180669 14125254 16334326 23126818 24501489 26361338 34690227 39542007 49002978 69380454 79084014 89838793 106173119 144987359 171348697 179677586 212346238 269516379 289974718 318519357 342697394 434962077 514046091 539032758 637038714 869924154 1028092182 1167904309 1331247569 1884835667 2335808618 2662495138 3503712927 3769671334 3993742707 5654507001 7007425854 7987485414 11309014002 14643723259 17306218397 29287446518 34612436794 43931169777 51918655191 87862339554 103837310382 190368402367 380736804734 571105207101 1142210414202