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542121121245 = 351121077873547
BaseRepresentation
bin1111110001110001110…
…11111101010111011101
31220211022100112101002010
413320320323331113131
532340231001334440
61053014053021433
754111160333164
oct7707073752735
91824270471063
10542121121245
11199a04270300
1289097324879
133c1777a4a62
141c34b3b83db
15e17d955580
hex7e38efd5dd

542121121245 has 96 divisors (see below), whose sum is σ = 963821182464. Its totient is φ = 259985911680.

The previous prime is 542121121231. The next prime is 542121121261.

542121121245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542121121245 - 218 = 542120859101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152837562 + ... + 152841108.

It is an arithmetic number, because the mean of its divisors is an integer number (10039803984).

Almost surely, 2542121121245 is an apocalyptic number.

542121121245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542121121245 is a deficient number, since it is larger than the sum of its proper divisors (421700061219).

542121121245 is a wasteful number, since it uses less digits than its factorization.

542121121245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4460 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 542121 and 121245, that added together give a palindrome (663366).

The spelling of 542121121245 in words is "five hundred forty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 107 121 165 321 363 535 605 787 1177 1605 1815 2361 3531 3547 3935 5885 8657 10641 11805 12947 17655 17735 25971 38841 39017 43285 53205 64735 84209 95227 117051 129855 194205 195085 252627 285681 379529 421045 429187 476135 585255 926299 1138587 1263135 1287561 1428405 1897645 2145935 2778897 2791489 4174819 4631495 5692935 6437805 8374467 10189289 12524457 13894485 13957445 20874095 30567867 30706379 41872335 45923009 50946445 62622285 92119137 137769027 152839335 153531895 229615045 298689323 337770169 460595685 688845135 896067969 1013310507 1493446615 1688850845 3285582553 4480339845 5066552535 9856747659 16427912765 36141408083 49283738295 108424224249 180707040415 542121121245