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42304222240324 = 22114344575016721
BaseRepresentation
bin10011001111001101110000…
…01000111001111001000100
312112210020120222120220212221
421213212320020321321010
521021103021343142244
6225550142535422124
711624244030654622
oct1147467010717104
9175706528526787
1042304222240324
1112530135649870
1248b2a12524944
131a7b36a622495
14a6376cb52512
154d566adcc784
hex2679b8239e44

42304222240324 has 48 divisors (see below), whose sum is σ = 82659364514496. Its totient is φ = 18777783628800.

The previous prime is 42304222240297. The next prime is 42304222240409.

42304222240324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423042222403242 (a number of 28 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 42304222240324.

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, 5924284 + ... + 10941004.

It is an arithmetic number, because the mean of its divisors is an integer number (1722070094052).

Almost surely, 242304222240324 is an apocalyptic number.

42304222240324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42304222240324 is a deficient number, since it is larger than the sum of its proper divisors (40355142274172).

42304222240324 is a wasteful number, since it uses less digits than its factorization.

42304222240324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021236 (or 5021234 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4230422 and 2240324, that added together give a palindrome (6470746).

The spelling of 42304222240324 in words is "forty-two trillion, three hundred four billion, two hundred twenty-two million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 4457 8914 17828 49027 98054 191651 196108 383302 766604 2108161 4216322 5016721 8432644 10033442 20066884 55183931 110367862 215719003 220735724 431438006 862876012 2372909033 4745818066 9491636132 22359525497 44719050994 89438101988 245954780467 491909560934 961459596371 983819121868 1922919192742 3845838385484 10576055560081 21152111120162 42304222240324