Search a number
-
+
22144125414140 = 2257186091811413
BaseRepresentation
bin1010000100011110101001…
…01110101010101011111100
32220101221212011200222200022
411002033110232222223330
510400302132101223030
6115032512030551312
74443601033233512
oct502172456525374
986357764628608
1022144125414140
1170682a8555734
12259781a968538
13c48249cccb42
14567ad21b84b2
15286045d2ede5
hex1423d4baaafc

22144125414140 has 48 divisors (see below), whose sum is σ = 47163134208960. Its totient is φ = 8731875317760.

The previous prime is 22144125414097. The next prime is 22144125414163. The reversal of 22144125414140 is 4141452144122.

It is a super-2 number, since 2×221441254141402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22144125414140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11319074 + ... + 13130486.

It is an arithmetic number, because the mean of its divisors is an integer number (982565296020).

Almost surely, 222144125414140 is an apocalyptic number.

22144125414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144125414140 is an abundant number, since it is smaller than the sum of its proper divisors (25019008794820).

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

22144125414140 is a wasteful number, since it uses less digits than its factorization.

22144125414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820102 (or 1820100 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

Adding to 22144125414140 its reverse (4141452144122), we get a palindrome (26285577558262).

The spelling of 22144125414140 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twenty-five million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 8609 17218 34436 43045 86090 172180 611239 1222478 1811413 2444956 3056195 3622826 6112390 7245652 9057065 12224780 18114130 36228260 128610323 257220646 514441292 643051615 1286103230 2572206460 15594454517 31188909034 62377818068 77972272585 155944545170 311889090340 1107206270707 2214412541414 4428825082828 5536031353535 11072062707070 22144125414140