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142311131310144 = 26310732647212183
BaseRepresentation
bin100000010110111001100100…
…011011011110100001000000
3200122212210220102112120012110
4200112321210123132201000
5122123111144103411034
61222400455311455320
741655432333220656
oct4026714433364100
9618783812476173
10142311131310144
11413878a26433a5
1213b64a25b27540
136153b60c84c04
14271dc773b0dd6
15116bc8c003de9
hex816e646de840

142311131310144 has 112 divisors (see below), whose sum is σ = 380063953640448. Its totient is φ = 46992045992448.

The previous prime is 142311131310143. The next prime is 142311131310163. The reversal of 142311131310144 is 441013131113241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142311131310143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670593877 + ... + 670806059.

It is an arithmetic number, because the mean of its divisors is an integer number (3393428157504).

Almost surely, 2142311131310144 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 142311131310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190031976820224).

142311131310144 is an abundant number, since it is smaller than the sum of its proper divisors (237752822330304).

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

142311131310144 is a wasteful number, since it uses less digits than its factorization.

142311131310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244952 (or 244942 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 142311131310144 its reverse (441013131113241), we get a palindrome (583324262423385).

The spelling of 142311131310144 in words is "one hundred forty-two trillion, three hundred eleven billion, one hundred thirty-one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 20544 32647 65294 97941 130588 195882 212183 261176 391764 424366 522352 636549 783528 848732 1044704 1273098 1567056 1697464 2089408 2546196 3134112 3394928 3493229 5092392 6268224 6789856 6986458 10184784 10479687 13579712 13972916 20369568 20959374 22703581 27945832 40739136 41918748 45407162 55891664 68110743 83837496 90814324 111783328 136221486 167674992 181628648 223566656 272442972 335349984 363257296 544885944 670699968 726514592 1089771888 1453029184 2179543776 4359087552 6927138401 13854276802 20781415203 27708553604 41562830406 55417107208 83125660812 110834214416 166251321624 221668428832 332502643248 443336857664 665005286496 741203808907 1330010572992 1482407617814 2223611426721 2964815235628 4447222853442 5929630471256 8894445706884 11859260942512 17788891413768 23718521885024 35577782827536 47437043770048 71155565655072 142311131310144