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42348467343 = 3713273223733
BaseRepresentation
bin100111011100001010…
…100101010010001111
311001022100010001001110
4213130022211102033
51143212201423333
631242110343103
73026302014240
oct473412452217
9131270101043
1042348467343
1116a61673346
12825a4baa93
133cbb797300
14209a454cc7
15117cc7e063
hex9dc2a548f

42348467343 has 96 divisors (see below), whose sum is σ = 71248687104. Its totient is φ = 21902939136.

The previous prime is 42348467303. The next prime is 42348467351. The reversal of 42348467343 is 34376484324.

42348467343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42348467343 - 212 = 42348463247 is a prime.

It is a super-2 number, since 2×423484673432 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42348467292 and 42348467301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42348467303) 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, 57773805 + ... + 57774537.

It is an arithmetic number, because the mean of its divisors is an integer number (742173824).

Almost surely, 242348467343 is an apocalyptic number.

42348467343 is a deficient number, since it is larger than the sum of its proper divisors (28900219761).

42348467343 is a wasteful number, since it uses less digits than its factorization.

42348467343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 48.

The spelling of 42348467343 in words is "forty-two billion, three hundred forty-eight million, four hundred sixty-seven thousand, three hundred forty-three".

Divisors: 1 3 7 13 21 39 73 91 169 219 223 273 507 511 669 733 949 1183 1533 1561 2199 2847 2899 3549 4683 5131 6643 8697 9529 12337 15393 16279 19929 20293 28587 37011 37687 48837 53509 60879 66703 86359 113061 113953 123877 160527 163459 200109 211627 259077 263809 341859 371631 374563 490377 634881 695617 791427 867139 1123689 1144213 1481389 2086851 2124967 2601417 2751151 3432639 4444167 4869319 6374901 8253453 9043021 11932507 14607957 14874769 19258057 27129063 27624571 35797521 44624307 57774171 63301147 82873713 83527549 155122591 189903441 193371997 250582647 465367773 580115991 1085858137 2016593683 3257574411 6049781049 14116155781 42348467343