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42402424004220 = 22357100958152391
BaseRepresentation
bin10011010010000100101010…
…11010111001111001111100
312120010122001211112101221110
421221002111122321321330
521024210131021113340
6230103223224202020
711634321411123360
oct1151022532717174
9176118054471843
1042402424004220
1112568848a15525
124909a5a009310
131a876ba70b997
14a684070392a0
154d7eb730b680
hex2690956b9e7c

42402424004220 has 48 divisors (see below), whose sum is σ = 135687756814848. Its totient is φ = 9691982629440.

The previous prime is 42402424004209. The next prime is 42402424004233. The reversal of 42402424004220 is 2240042420424.

It is a happy number.

It is a super-2 number, since 2×424024240042202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50479075776 + ... + 50479076615.

It is an arithmetic number, because the mean of its divisors is an integer number (2826828266976).

Almost surely, 242402424004220 is an apocalyptic number.

It is an amenable number.

42402424004220 is an abundant number, since it is smaller than the sum of its proper divisors (93285332810628).

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

42402424004220 is a wasteful number, since it uses less digits than its factorization.

42402424004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100958152410 (or 100958152408 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42402424004220 its reverse (2240042420424), we get a palindrome (44642466424644).

The spelling of 42402424004220 in words is "forty-two trillion, four hundred two billion, four hundred twenty-four million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 100958152391 201916304782 302874457173 403832609564 504790761955 605748914346 706707066737 1009581523910 1211497828692 1413414133474 1514372285865 2019163047820 2120121200211 2826828266948 3028744571730 3533535333685 4240242400422 6057489143460 7067070667370 8480484800844 10600606001055 14134141334740 21201212002110 42402424004220