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22440442202442 = 23211432635710853
BaseRepresentation
bin1010001101000110100101…
…00101100000100101001010
32221110021201000000110211100
411012203102211200211022
510420131011200434232
6115420555152042230
74504161035333505
oct506432245404512
987407630013740
1022440442202442
117171a35669520
122625136833376
13c6a180a35434
145781a20aa13c
1528dad9e91c7c
hex1468d296094a

22440442202442 has 48 divisors (see below), whose sum is σ = 54274557905568. Its totient is φ = 6641991347040.

The previous prime is 22440442202329. The next prime is 22440442202491. The reversal of 22440442202442 is 24420224404422.

22440442202442 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 0 + 4 + 4 + 2 + 202 + 442 = 666.

It is a super-3 number, since 3×224404422024423 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22440442202397 and 22440442202406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317846913 + ... + 1317863940.

It is an arithmetic number, because the mean of its divisors is an integer number (1130719956366).

Almost surely, 222440442202442 is an apocalyptic number.

22440442202442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22440442202442 is an abundant number, since it is smaller than the sum of its proper divisors (31834115703126).

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

22440442202442 is a wasteful number, since it uses less digits than its factorization.

22440442202442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635710915 (or 2635710912 counting only the distinct ones).

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

Adding to 22440442202442 its reverse (24420224404422), we get a palindrome (46860666606864).

The spelling of 22440442202442 in words is "twenty-two trillion, four hundred forty billion, four hundred forty-two million, two hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 2635710853 5271421706 7907132559 15814265118 23721397677 28992819383 47442795354 57985638766 86978458149 113335566679 173956916298 226671133358 260935374447 340006700037 521870748894 680013400074 1020020100111 1246691233469 2040040200222 2493382466938 3740073700407 7480147400814 11220221101221 22440442202442