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42422022022424 = 231131101153966283
BaseRepresentation
bin10011010010101001001011…
…00011011010010100011000
312120012111122122122212211112
421221110211203122110120
521030020300114204144
6230120224033515452
711635614152412602
oct1151244543322430
9176174578585745
1042422022022424
1112576095545690
124911809412b88
131a894c1a2cc65
14a69345ba2172
154d8762b2199e
hex2695258da518

42422022022424 has 64 divisors (see below), whose sum is σ = 90458271175680. Its totient is φ = 18475953840000.

The previous prime is 42422022022411. The next prime is 42422022022427.

42422022022424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422022022427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76707614 + ... + 77258669.

It is an arithmetic number, because the mean of its divisors is an integer number (1413410487120).

Almost surely, 242422022022424 is an apocalyptic number.

42422022022424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42422022022424 is an abundant number, since it is smaller than the sum of its proper divisors (48036249153256).

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

42422022022424 is a wasteful number, since it uses less digits than its factorization.

42422022022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153966432 (or 153966428 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4242202 and 2022424, that added together give a palindrome (6264626).

The spelling of 42422022022424 in words is "forty-two trillion, four hundred twenty-two billion, twenty-two million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 202 248 341 404 682 808 1111 1364 2222 2728 3131 4444 6262 8888 12524 25048 34441 68882 137764 275528 153966283 307932566 615865132 1231730264 1693629113 3387258226 4772954773 6774516452 9545909546 13549032904 15550594583 19091819092 31101189166 38183638184 52502502503 62202378332 105005005006 124404756664 171056540413 210010010012 342113080826 420020020024 482068432073 684226161652 964136864146 1368452323304 1928273728292 3856547456584 5302752752803 10605505505606 21211011011212 42422022022424