Search a number
-
+
42222221422320 = 2435335815238853
BaseRepresentation
bin10011001100110101000001…
…00000100110111011110000
312112111101221012120202120110
421212122200200212323300
521013232102141003240
6225444342025341320
711615312002343442
oct1146324040467360
9175441835522513
1042222221422320
11124a9386297595
12489ab48637840
131a736ccb17bb4
14a5d7d0388492
154d346be38c80
hex2666a0826ef0

42222221422320 has 80 divisors (see below), whose sum is σ = 130892809100832. Its totient is φ = 11258921610240.

The previous prime is 42222221422319. The next prime is 42222221422379. The reversal of 42222221422320 is 2322412222224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5440014 + ... + 10678866.

Almost surely, 242222221422320 is an apocalyptic number.

42222221422320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42222221422320 is an abundant number, since it is smaller than the sum of its proper divisors (88670587678512).

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

42222221422320 is a wasteful number, since it uses less digits than its factorization.

42222221422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272450 (or 5272444 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42222221422320 its reverse (2322412222224), we get a palindrome (44544633644544).

The spelling of 42222221422320 in words is "forty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 33581 67162 100743 134324 167905 201486 268648 335810 402972 503715 537296 671620 805944 1007430 1343240 1611888 2014860 2686480 4029720 5238853 8059440 10477706 15716559 20955412 26194265 31433118 41910824 52388530 62866236 78582795 83821648 104777060 125732472 157165590 209554120 251464944 314331180 419108240 628662360 1257324720 175925922593 351851845186 527777767779 703703690372 879629612965 1055555535558 1407407380744 1759259225930 2111111071116 2638888838895 2814814761488 3518518451860 4222222142232 5277777677790 7037036903720 8444444284464 10555555355580 14074073807440 21111110711160 42222221422320