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24134533543142 = 211223131191173297
BaseRepresentation
bin1010111110011010000100…
…10011000111010011100110
310011110020110010202022020222
411133031002103013103212
511130410011041340032
6123155130204524342
75040443145206231
oct537150223072346
9104406403668228
1024134533543142
117765441aa9900
1228595265506b2
131060b522a33a9
145d6190bc4418
152bcbdbbbba12
hex15f3424c74e6

24134533543142 has 96 divisors (see below), whose sum is σ = 42058409766912. Its totient is φ = 10358595104000.

The previous prime is 24134533543111. The next prime is 24134533543171.

24134533543142 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×241345335431423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24134533543093 and 24134533543102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139180238 + ... + 139353534.

It is an arithmetic number, because the mean of its divisors is an integer number (438108435072).

Almost surely, 224134533543142 is an apocalyptic number.

24134533543142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24134533543142 is a deficient number, since it is larger than the sum of its proper divisors (17923876223770).

24134533543142 is a wasteful number, since it uses less digits than its factorization.

24134533543142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173666 (or 173655 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 2413453 and 3543142, that added together give a palindrome (5956595).

The spelling of 24134533543142 in words is "twenty-four trillion, one hundred thirty-four billion, five hundred thirty-three million, five hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 11 22 23 46 121 131 191 242 253 262 382 506 1441 2101 2783 2882 3013 4202 4393 5566 6026 8786 15851 23111 25021 31702 33143 46222 48323 50042 66286 96646 173297 275231 346594 364573 531553 550462 575483 729146 1063106 1150966 1906267 3027541 3812534 3985831 6055082 6330313 7971662 12660626 20968937 22701907 33099727 41937874 43844141 45403814 66199454 69633443 87688282 139266886 249720977 364096997 482285551 499441954 522143861 728193994 761293721 964571102 1044287722 1522587442 2746930747 4005066967 4336064237 5493861494 5743582471 8010133934 8374230931 8672128474 11487164942 16748461862 47696706607 63179407181 92116540241 95393413214 99729477451 126358814362 184233080482 199458954902 524663772677 1049327545354 1097024251961 2194048503922 12067266771571 24134533543142