Search a number
-
+
142642336434 = 23133743226731
BaseRepresentation
bin1000010011011000100…
…1010101001010110010
3111122011222201110220120
42010312021111022302
54314112414231214
6145310132151110
713206544566033
oct2046611251262
9448158643816
10142642336434
1155548975664
122378a768496
13105b3139090
146c92530a8a
153a9cbb5ea9
hex21362552b2

142642336434 has 96 divisors (see below), whose sum is σ = 323053867584. Its totient is φ = 41709064320.

The previous prime is 142642336423. The next prime is 142642336451. The reversal of 142642336434 is 434633246241.

It is a super-2 number, since 2×1426423364342 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5322849 + ... + 5349579.

It is an arithmetic number, because the mean of its divisors is an integer number (3365144454).

Almost surely, 2142642336434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142642336434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161526933792).

142642336434 is an abundant number, since it is smaller than the sum of its proper divisors (180411531150).

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

142642336434 is a wasteful number, since it uses less digits than its factorization.

142642336434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26872 (or 26829 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

The spelling of 142642336434 in words is "one hundred forty-two billion, six hundred forty-two million, three hundred thirty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 37 39 43 74 78 86 111 129 222 258 481 559 962 1118 1443 1591 1677 1849 2886 3182 3354 3698 4773 5547 9546 11094 20683 24037 26731 41366 48074 53462 62049 68413 72111 80193 124098 136826 144222 160386 205239 347503 410478 695006 889369 989047 1042509 1149433 1778738 1978094 2085018 2298866 2668107 2967141 3448299 5336214 5934282 6896598 12857611 14942629 25715222 29885258 38572833 42529021 44827887 49425619 77145666 85058042 89655774 98851238 127587063 148276857 255174126 296553714 552877273 642533047 1105754546 1285066094 1658631819 1828747903 1927599141 3317263638 3657495806 3855198282 5486243709 10972487418 23773722739 47547445478 71321168217 142642336434