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142505101044 = 223219670131091
BaseRepresentation
bin1000010010110111110…
…1110100011011110100
3111121211102111012100100
42010231331310123310
54313322301213134
6145244350514100
713203260241615
oct2045575643364
9447742435310
10142505101044
1155488461689
1223750805930
13105908891c7
146c7c209c0c
153a90b08999
hex212df746f4

142505101044 has 72 divisors (see below), whose sum is σ = 379249022880. Its totient is φ = 44993448000.

The previous prime is 142505101009. The next prime is 142505101127. The reversal of 142505101044 is 440101505241.

142505101044 is a `hidden beast` number, since 1 + 42 + 5 + 0 + 510 + 104 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142505100999 and 142505101017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4567939 + ... + 4599029.

It is an arithmetic number, because the mean of its divisors is an integer number (5267347540).

Almost surely, 2142505101044 is an apocalyptic number.

It is an amenable number.

142505101044 is an abundant number, since it is smaller than the sum of its proper divisors (236743921836).

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

142505101044 is a wasteful number, since it uses less digits than its factorization.

142505101044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37821 (or 37816 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 142505101044 its reverse (440101505241), we get a palindrome (582606606285).

The spelling of 142505101044 in words is "one hundred forty-two billion, five hundred five million, one hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 6701 13402 20103 26804 31091 40206 60309 62182 80412 93273 120618 124364 127319 186546 241236 254638 279819 373092 381957 509276 559638 590729 763914 1119276 1145871 1181458 1527828 1772187 2291742 2362916 3544374 4583484 5316561 7088748 10633122 21266244 208340791 416681582 625022373 833363164 1250044746 1875067119 2500089492 3750134238 3958475029 7500268476 7916950058 11875425087 15833900116 23750850174 35626275261 47501700348 71252550522 142505101044