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21442023394242 = 23111376533631517
BaseRepresentation
bin1001110000000010111000…
…01100000000101111000010
32210220211121110212220201120
410320001130030000233002
510302301230442103432
6113334155104013110
74342064220441213
oct470013414005702
983824543786646
1021442023394242
116917569239410
1224a3736301196
13bc6c88218859
14541b29a5d40a
15272b52461c2c
hex13805c300bc2

21442023394242 has 64 divisors (see below), whose sum is σ = 47196253805184. Its totient is φ = 6440275735040.

The previous prime is 21442023394241. The next prime is 21442023394357. The reversal of 21442023394242 is 24249332024412.

It is a junction number, because it is equal to n+sod(n) for n = 21442023394194 and 21442023394203.

It is not an unprimeable number, because it can be changed into a prime (21442023394241) 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, 4088668 + ... + 7720184.

It is an arithmetic number, because the mean of its divisors is an integer number (737441465706).

Almost surely, 221442023394242 is an apocalyptic number.

21442023394242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442023394242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598126902592).

21442023394242 is an abundant number, since it is smaller than the sum of its proper divisors (25754230410942).

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

21442023394242 is a wasteful number, since it uses less digits than its factorization.

21442023394242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632323.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 21442023394242 in words is "twenty-one trillion, four hundred forty-two billion, twenty-three million, three hundred ninety-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 137 274 411 653 822 1306 1507 1959 3014 3918 4521 7183 9042 14366 21549 43098 89461 178922 268383 536766 984071 1968142 2952213 3631517 5904426 7263034 10894551 21789102 39946687 79893374 119840061 239680122 497517829 995035658 1492553487 2371380601 2985106974 4742761202 5472696119 7114141803 10945392238 14228283606 16418088357 26085186611 32836176714 52170373222 78255559833 156511119666 324879142337 649758284674 974637427011 1949274854022 3573670565707 7147341131414 10721011697121 21442023394242