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42042224028 = 2237217322389
BaseRepresentation
bin100111001001111010…
…010110110110011100
311000111222212021012110
4213021322112312130
51142100302132103
631151450434020
73015563002500
oct471172266634
9130458767173
1042042224028
11169148151a2
128193a32910
133c701c184c
14206b8d8300
151160e3a403
hex9c9e96d9c

42042224028 has 108 divisors (see below), whose sum is σ = 114826087320. Its totient is φ = 11937631104.

The previous prime is 42042224011. The next prime is 42042224033. The reversal of 42042224028 is 82042224024.

It is a junction number, because it is equal to n+sod(n) for n = 42042223986 and 42042224004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17597058 + ... + 17599446.

Almost surely, 242042224028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042224028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57413043660).

42042224028 is an abundant number, since it is smaller than the sum of its proper divisors (72783863292).

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

42042224028 is a wasteful number, since it uses less digits than its factorization.

42042224028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 42042224028 in words is "forty-two billion, forty-two million, two hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 173 196 294 346 519 588 692 1038 1211 2076 2389 2422 3633 4778 4844 7167 7266 8477 9556 14334 14532 16723 16954 25431 28668 29929 33446 33908 50169 50862 59858 66892 89787 100338 101724 117061 119716 179574 200676 209503 234122 351183 359148 413297 419006 468244 628509 702366 826594 838012 1239891 1257018 1404732 1466521 1653188 2479782 2514036 2893079 2933042 4399563 4959564 5786158 5866084 8679237 8799126 11572316 17358474 17598252 20251553 34716948 40503106 60754659 71500381 81006212 121509318 143000762 214501143 243018636 286001524 429002286 500502667 858004572 1001005334 1501508001 2002010668 3003016002 3503518669 6006032004 7007037338 10510556007 14014074676 21021112014 42042224028