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20422402444242 = 2322325923362107
BaseRepresentation
bin1001010010010111101100…
…00010110000101111010010
32200022100210100011221211200
410221023312002300233102
510134100040011203432
6111233531104252030
74205320112403261
oct451136602605722
980270710157750
1020422402444242
116564101850367
122359bb9311016
13b51a93c60036
145086418005d8
152563783a5a7c
hex1292f60b0bd2

20422402444242 has 72 divisors (see below), whose sum is σ = 46263971090064. Its totient is φ = 6510373298352.

The previous prime is 20422402444211. The next prime is 20422402444243. The reversal of 20422402444242 is 24244420422402.

20422402444242 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 402 + 4 + 4 + 4 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20422402444197 and 20422402444206.

It is not an unprimeable number, because it can be changed into a prime (20422402444243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56217753 + ... + 56579859.

Almost surely, 220422402444242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422402444242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131985545032).

20422402444242 is an abundant number, since it is smaller than the sum of its proper divisors (25841568645822).

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

20422402444242 is a wasteful number, since it uses less digits than its factorization.

20422402444242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368084 (or 368058 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 20422402444242 its reverse (24244420422402), we get a palindrome (44666822866644).

The spelling of 20422402444242 in words is "twenty trillion, four hundred twenty-two billion, four hundred two million, four hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 5923 9522 11846 17769 35538 53307 106614 136229 272458 362107 408687 724214 817374 1086321 1226061 2172642 2452122 3133267 3258963 6266534 6517926 8328461 9399801 16656922 18799602 24985383 28199403 49970766 56398806 74956149 149912298 191554603 383109206 574663809 1149327618 1723991427 2144759761 3447982854 4289519522 6434279283 12868558566 19302837849 38605675698 49329474503 98658949006 147988423509 295976847018 443965270527 887930541054 1134577913569 2269155827138 3403733740707 6807467481414 10211201222121 20422402444242