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142444433431542 = 2311234311083196901
BaseRepresentation
bin100000011000110101101101…
…110110101101101111110110
3200200100112222110222221210210
4200120311231312231233312
5122132302144424302132
61222542022550530250
742001161564444264
oct4030655566555766
9620315873887723
10142444433431542
1141429388176180
1213b86828666986
1361635b6002518
1427264c1249434
15117048ebd8bcc
hex818d6ddadbf6

142444433431542 has 128 divisors (see below), whose sum is σ = 331873866289152. Its totient is φ = 40324206384000.

The previous prime is 142444433431331. The next prime is 142444433431543. The reversal of 142444433431542 is 245134334444241.

It is a junction number, because it is equal to n+sod(n) for n = 142444433431491 and 142444433431500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142444433431543) 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, 723333292 + ... + 723530192.

It is an arithmetic number, because the mean of its divisors is an integer number (2592764580384).

Almost surely, 2142444433431542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142444433431542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165936933144576).

142444433431542 is an abundant number, since it is smaller than the sum of its proper divisors (189429432857610).

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

142444433431542 is a wasteful number, since it uses less digits than its factorization.

142444433431542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208066.

The product of its digits is 8847360, while the sum is 48.

Adding to 142444433431542 its reverse (245134334444241), we get a palindrome (387578767875783).

The spelling of 142444433431542 in words is "one hundred forty-two trillion, four hundred forty-four billion, four hundred thirty-three million, four hundred thirty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 43 46 66 69 86 129 138 253 258 473 506 759 946 989 1419 1518 1978 2838 2967 5934 10879 11083 21758 22166 32637 33249 65274 66498 121913 196901 243826 254909 365739 393802 476569 509818 590703 731478 764727 953138 1181406 1429707 1529454 2165911 2803999 2859414 4331822 4528723 5242259 5607998 6497733 8411997 8466743 9057446 10484518 10961087 12995466 13586169 15726777 16823994 16933486 21922174 25400229 27172338 31453554 32883261 49815953 50800458 65766522 93134173 99631906 120571957 149447859 186268346 194735089 241143914 279402519 298895718 361715871 389470178 558805038 584205267 723431742 1168410534 2142085979 2182253783 4284171958 4364507566 6426257937 6546761349 12852515874 13093522698 24004791613 48009583226 50191837009 72014374839 93836912669 100383674018 144028749678 150575511027 187673825338 281510738007 301151022054 552110207099 563021476014 1032206039359 1104220414198 1656330621297 2064412078718 2158248991387 3096618118077 3312661242594 4316497982774 6193236236154 6474746974161 12949493948322 23740738905257 47481477810514 71222216715771 142444433431542