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42013201014 = 2341991114983
BaseRepresentation
bin100111001000001011…
…101001001001110110
311000102222020202010000
4213020023221021312
51142020334413024
631144532412130
73015061213341
oct471013511166
9130388222100
1042013201014
11168aa3a1834
128186177046
133c6719c475
142067b01458
15115d605cc9
hex9c82e9276

42013201014 has 80 divisors (see below), whose sum is σ = 99210862080. Its totient is φ = 13251878640.

The previous prime is 42013200997. The next prime is 42013201063. The reversal of 42013201014 is 41010231024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2796567 + ... + 2811549.

It is an arithmetic number, because the mean of its divisors is an integer number (1240135776).

Almost surely, 242013201014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013201014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49605431040).

42013201014 is an abundant number, since it is smaller than the sum of its proper divisors (57197661066).

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

42013201014 is a wasteful number, since it uses less digits than its factorization.

42013201014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42013201014 its reverse (41010231024), we get a palindrome (83023432038).

The spelling of 42013201014 in words is "forty-two billion, thirteen million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 911 1026 1539 1822 2733 3078 5466 8199 14983 16398 17309 24597 29966 34618 44949 49194 51927 73791 89898 103854 134847 147582 155781 269694 284677 311562 404541 467343 569354 809082 854031 934686 1213623 1402029 1708062 2427246 2562093 2804058 5124186 7686279 13649513 15372558 23058837 27299026 40948539 46117674 81897078 122845617 245691234 259340747 368536851 518681494 737073702 778022241 1105610553 1556044482 2211221106 2334066723 4668133446 7002200169 14004400338 21006600507 42013201014