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345224242422543 = 311229376011474757
BaseRepresentation
bin100111001111110101100100…
…0010101100110001100001111
31200021100010010000200001222210
41032133223020111212030033
5330222123222030010133
63222121454430241503
7132500425360455561
oct11637531025461417
91607303100601883
10345224242422543
119aaa9862963100
1232876930356293
1311a8267766a713
146136d2a27b331
1529da11c64b763
hex139fac856630f

345224242422543 has 96 divisors (see below), whose sum is σ = 538435561567680. Its totient is φ = 196225134336000.

The previous prime is 345224242422541. The next prime is 345224242422589.

345224242422543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345224242422543 - 21 = 345224242422541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345224242422492 and 345224242422501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345224242422541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233351521 + ... + 234826277.

It is an arithmetic number, because the mean of its divisors is an integer number (5608703766330).

Almost surely, 2345224242422543 is an apocalyptic number.

345224242422543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345224242422543 is a deficient number, since it is larger than the sum of its proper divisors (193211319145137).

345224242422543 is a wasteful number, since it uses less digits than its factorization.

345224242422543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475449 (or 1475438 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 345224242422543 in words is "three hundred forty-five trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, five hundred forty-three".

Divisors: 1 3 11 29 33 37 87 111 121 319 363 407 601 957 1073 1221 1803 3219 3509 4477 6611 10527 11803 13431 17429 19833 22237 35409 52287 66711 72721 129833 191719 218163 244607 389499 575157 644873 733821 1474757 1934619 2108909 2690677 4424271 6326727 7093603 8072031 16222327 21280809 42767953 48666981 54566009 78029633 128303859 163698027 178445597 234088899 470447483 535336791 600226099 886328957 1411342449 1582414261 1800678297 2658986871 4747242783 5174922313 6602487089 9749618527 15524766939 17406556871 19807461267 25703539753 29248855581 32794171409 52219670613 77110619259 98382514227 107245803797 191472125581 282738937283 321737411391 360735885499 574416376743 848216811849 951030970861 1082207656497 2853092912583 3110128310113 3968094740489 9330384930339 10461340679471 11904284221467 31384022038413 115074747474181 345224242422543