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24342322324342 = 21171251461134681
BaseRepresentation
bin1011000100011101000110…
…11110011010001101110110
310012012002210022000001221011
411202032203132122031312
511142311034003334332
6123434413011342434
75061450303542161
oct542164336321566
9105162708001834
1024342322324342
117835580392660
1228918565b1a1a
131077618150b29
146022634aaad8
152c32edd17e47
hex1623a379a376

24342322324342 has 64 divisors (see below), whose sum is σ = 40643122899456. Its totient is φ = 10841740000000.

The previous prime is 24342322324339. The next prime is 24342322324361.

24342322324342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×243423223243422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24342322324295 and 24342322324304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180673242 + ... + 180807922.

It is an arithmetic number, because the mean of its divisors is an integer number (635048795304).

Almost surely, 224342322324342 is an apocalyptic number.

24342322324342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24342322324342 is a deficient number, since it is larger than the sum of its proper divisors (16300800575114).

24342322324342 is a wasteful number, since it uses less digits than its factorization.

24342322324342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135477.

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 2434232 and 2324342, that added together give a palindrome (4758574).

The spelling of 24342322324342 in words is "twenty-four trillion, three hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 11 22 71 142 251 461 502 781 922 1562 2761 5071 5522 10142 17821 32731 35642 65462 115711 134681 196031 231422 269362 360041 392062 720082 1272821 1481491 2545642 2962982 8215481 9562351 16430962 19124702 33804931 62087941 67609862 90370291 105185861 124175882 180740582 210371722 371854241 682967351 743708482 1365934702 2400150101 4408243811 4800300202 8816487622 15584073191 26401651111 31168146382 48490681921 52803302222 96981363842 171424805101 342849610202 1106469196561 2212938393122 12171161162171 24342322324342