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42002023336 = 23713271212897
BaseRepresentation
bin100111000111100001…
…000000001110101000
311000102012012212012221
4213013201000032220
51142010004221321
631143453043424
73014564210350
oct470741001650
9130365185187
1042002023336
11168a4057889
128182486574
133c64a87860
142066431b60
15115c648e41
hex9c78403a8

42002023336 has 64 divisors (see below), whose sum is σ = 97285870080. Its totient is φ = 16554792960.

The previous prime is 42002023331. The next prime is 42002023351. The reversal of 42002023336 is 63332020024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42002023336.

It is not an unprimeable number, because it can be changed into a prime (42002023331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90840 + ... + 303736.

It is an arithmetic number, because the mean of its divisors is an integer number (1520091720).

Almost surely, 242002023336 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 42002023336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642935040).

42002023336 is an abundant number, since it is smaller than the sum of its proper divisors (55283846744).

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

42002023336 is a wasteful number, since it uses less digits than its factorization.

42002023336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213194 (or 213190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The spelling of 42002023336 in words is "forty-two billion, two million, twenty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 271 364 542 728 1084 1897 2168 3523 3794 7046 7588 14092 15176 24661 28184 49322 98644 197288 212897 425794 851588 1490279 1703176 2767661 2980558 5535322 5961116 11070644 11922232 19373627 22141288 38747254 57695087 77494508 115390174 154989016 230780348 403865609 461560696 750036131 807731218 1500072262 1615462436 3000144524 3230924872 5250252917 6000289048 10500505834 21001011668 42002023336