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142414314042 = 23711313195967
BaseRepresentation
bin1000010010100010001…
…1011111101000111010
3111121121002122201222210
42010220203133220322
54313131031022132
6145231344555550
713201105460520
oct2045043375072
9447532581883
10142414314042
1155441193000
1223726322bb6
1310577b1cca0
146c70136310
153a87b73bcc
hex21288dfa3a

142414314042 has 128 divisors (see below), whose sum is σ = 385589772288. Its totient is φ = 34145115840.

The previous prime is 142414314023. The next prime is 142414314043. The reversal of 142414314042 is 240413414241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142414314043) 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, 628743 + ... + 824709.

It is an arithmetic number, because the mean of its divisors is an integer number (3012420096).

Almost surely, 2142414314042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142414314042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192794886144).

142414314042 is an abundant number, since it is smaller than the sum of its proper divisors (243175458246).

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

142414314042 is a wasteful number, since it uses less digits than its factorization.

142414314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196025 (or 196003 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 142414314042 its reverse (240413414241), we get a palindrome (382827728283).

The spelling of 142414314042 in words is "one hundred forty-two billion, four hundred fourteen million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1331 1573 1694 2002 2541 2662 3003 3146 3993 4719 5082 6006 7986 9317 9438 11011 17303 18634 22022 27951 33033 34606 51909 55902 66066 103818 121121 195967 242242 363363 391934 587901 726726 1175802 1371769 2155637 2547571 2743538 4115307 4311274 5095142 6466911 7642713 8230614 12933822 15089459 15285426 17832997 23712007 28023281 30178918 35665994 45268377 47424014 53498991 56046562 71136021 84069843 90536754 106997982 142272042 165984049 168139686 196162967 260832077 308256091 331968098 392325934 497952147 521664154 588488901 616512182 782496231 924768273 995904294 1176977802 1564992462 1825824539 1849536546 2157792637 3390817001 3651649078 4315585274 5477473617 6473377911 6781634002 10172451003 10954947234 12946755822 20344902006 23735719007 47471438014 71207157021 142414314042