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42020442354 = 23117316195387
BaseRepresentation
bin100111001000100111…
…010001000011110010
311000110110212122100210
4213020213101003302
51142024213123404
631145351524550
73015206603202
oct471047210362
9130413778323
1042020442354
1116903498310
128188689756
133c68836497
142068a68402
15115e086689
hex9c89d10f2

42020442354 has 64 divisors (see below), whose sum is σ = 93011535360. Its totient is φ = 12548949120.

The previous prime is 42020442353. The next prime is 42020442377. The reversal of 42020442354 is 45324402024.

It is a super-2 number, since 2×420204423542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42020442353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7797649 + ... + 7803035.

It is an arithmetic number, because the mean of its divisors is an integer number (1453305240).

Almost surely, 242020442354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020442354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46505767680).

42020442354 is an abundant number, since it is smaller than the sum of its proper divisors (50991093006).

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

42020442354 is a wasteful number, since it uses less digits than its factorization.

42020442354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095.

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 42020442354 its reverse (45324402024), we get a palindrome (87344844378).

The spelling of 42020442354 in words is "forty-two billion, twenty million, four hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 1619 2409 3238 4818 4857 5387 9714 10774 16161 17809 32322 35618 53427 59257 106854 118187 118514 177771 236374 354561 355542 393251 709122 786502 1179753 1300057 2359506 2600114 3900171 4325761 7800342 8651522 8721553 12977283 17443106 25954566 26164659 52329318 95937083 191874166 287811249 575622498 636673369 1273346738 1910020107 3820040214 7003407059 14006814118 21010221177 42020442354