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542334433245 = 351117377337129
BaseRepresentation
bin1111110010001011010…
…01101011011111011101
31220211212012220202010120
413321011221223133131
532341200103330440
61053051153025153
754116360423103
oct7710551533735
91824765822116
10542334433245
1119a003715810
12891368551b9
133c1aca40287
141c36b863c73
15e19253ddd0
hex7e45a6b7dd

542334433245 has 128 divisors (see below), whose sum is σ = 1030941872640. Its totient is φ = 240431431680.

The previous prime is 542334433181. The next prime is 542334433253.

542334433245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542334433245 - 26 = 542334433181 is a prime.

It is a super-2 number, since 2×5423344332452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542334433197 and 542334433206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76070841 + ... + 76077969.

It is an arithmetic number, because the mean of its divisors is an integer number (8054233380).

Almost surely, 2542334433245 is an apocalyptic number.

542334433245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542334433245 is a deficient number, since it is larger than the sum of its proper divisors (488607439395).

542334433245 is a wasteful number, since it uses less digits than its factorization.

542334433245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935.

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 542334 and 433245, that added together give a palindrome (975579).

The spelling of 542334433245 in words is "five hundred forty-two billion, three hundred thirty-four million, four hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 17 33 37 51 55 85 111 165 185 187 255 407 555 561 629 733 935 1221 1887 2035 2199 2805 3145 3665 6105 6919 7129 8063 9435 10995 12461 20757 21387 24189 27121 34595 35645 37383 40315 62305 78419 81363 103785 106935 120945 121193 135605 137071 186915 235257 263773 298331 363579 392095 406815 411213 461057 605965 685355 791319 894993 1176285 1318865 1333123 1383171 1491655 1817895 2056065 2305285 2901503 3956595 3999369 4474965 4484141 5071627 5225557 6665615 6915855 8704509 13452423 14507515 15214881 15676671 19996845 22420705 25358135 26127785 43522545 49325551 57481127 67262115 76074405 78383355 88834469 147976653 172443381 193345609 246627755 266503407 287405635 444172345 580036827 739883265 862216905 966728045 977179159 1332517035 2126801699 2900184135 2931537477 3286875353 4885895795 6380405097 9860626059 10634008495 14657687385 16434376765 31902025485 36155628883 49303130295 108466886649 180778144415 542334433245