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13442442524052 = 22383227461128971
BaseRepresentation
bin1100001110011101000000…
…0000101111010110010100
31202121002021221011111212120
43003213100000233112110
53230220110241232202
644331212311215540
72555120154116523
oct303472000572624
952532257144776
1013442442524052
1143129a93a7653
12161129a9775b0
137668034032c9
14346890d244ba
15184a071dd0bc
hexc39d002f594

13442442524052 has 96 divisors (see below), whose sum is σ = 31952848080384. Its totient is φ = 4397732553600.

The previous prime is 13442442524029. The next prime is 13442442524081. The reversal of 13442442524052 is 25042524424431.

It is a super-2 number, since 2×134424425240522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13442442523995 and 13442442524013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104163927 + ... + 104292897.

It is an arithmetic number, because the mean of its divisors is an integer number (332842167504).

Almost surely, 213442442524052 is an apocalyptic number.

13442442524052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13442442524052 is an abundant number, since it is smaller than the sum of its proper divisors (18510405556332).

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

13442442524052 is a wasteful number, since it uses less digits than its factorization.

13442442524052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129749 (or 129747 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 13442442524052 its reverse (25042524424431), we get a palindrome (38484966948483).

The spelling of 13442442524052 in words is "thirteen trillion, four hundred forty-two billion, four hundred forty-two million, five hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 83 166 227 249 332 454 461 498 681 908 922 996 1362 1383 1844 2724 2766 5532 18841 37682 38263 56523 75364 76526 104647 113046 114789 128971 153052 209294 226092 229578 257942 313941 386913 418588 459156 515884 627882 773826 1255764 1547652 8685701 10704593 17371402 21409186 26057103 29276417 32113779 34742804 42818372 52114206 58552834 59455631 64227558 87829251 104228412 117105668 118911262 128455116 175658502 178366893 237822524 351317004 356733786 713467572 2429942611 4859885222 4934817373 7289827833 9719770444 9869634746 13496428237 14579655666 14804452119 19739269492 26992856474 29159311332 29608904238 40489284711 53985712948 59217808476 80978569422 161957138844 1120203543671 2240407087342 3360610631013 4480814174684 6721221262026 13442442524052