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245134431542 = 2711131571794357
BaseRepresentation
bin1110010001001100100…
…1101001010100110110
3212102201211200100222002
43210103021221110312
513004013403302132
6304340241335302
723465442200660
oct3442311512466
9772654610862
10245134431542
1194a62aa56a0
123b613037532
131a16803abc0
14bc16545530
15659aab9262
hex3913269536

245134431542 has 128 divisors (see below), whose sum is σ = 499732208640. Its totient is φ = 87089333760.

The previous prime is 245134431539. The next prime is 245134431547.

245134431542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245134431496 and 245134431505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245134431547) 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, 56260028 + ... + 56264384.

It is an arithmetic number, because the mean of its divisors is an integer number (3904157880).

Almost surely, 2245134431542 is an apocalyptic number.

245134431542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

245134431542 is an abundant number, since it is smaller than the sum of its proper divisors (254597777098).

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

245134431542 is a wasteful number, since it uses less digits than its factorization.

245134431542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726.

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 245134 and 431542, that added together give a palindrome (676676).

The spelling of 245134431542 in words is "two hundred forty-five billion, one hundred thirty-four million, four hundred thirty-one thousand, five hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 157 179 182 286 314 358 1001 1099 1253 1727 1969 2002 2041 2198 2327 2506 3454 3938 4082 4357 4654 8714 12089 13783 14287 16289 22451 24178 25597 27566 28103 28574 30499 32578 44902 47927 51194 56206 56641 60998 95854 113282 157157 179179 196721 309133 314314 335489 358358 365339 393442 396487 618266 623051 670978 684049 730678 779903 792974 1246102 1368098 1559806 2163931 2557373 4018729 4327862 4361357 4788343 5114746 5459321 7524539 8037458 8578933 8722714 8892637 9576686 10138739 10918642 15049078 17157866 17785274 20277478 28131103 52671773 56262206 60052531 62248459 70971173 97819007 105343546 111526129 120105062 122444771 124496918 141942346 195638014 223052258 244889542 684733049 780682903 857113397 1346892481 1369466098 1561365806 1591782023 1714226794 2693784962 3183564046 9428247367 11142474161 17509602253 18856494734 22284948322 35019204506 122567215771 245134431542