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10343024442140 = 2251326167774099
BaseRepresentation
bin1001011010000010110001…
…0011000011101100011100
31100121210011011020101201112
42112200230103003230130
52323430003224122030
633555304141201152
72115154534113215
oct226405423035434
940553134211645
1010343024442140
1133284a7723515
1211b0669b601b8
135a045c7cb200
1427a8683a840c
1512e0a48a9a95
hex9682c4c3b1c

10343024442140 has 144 divisors (see below), whose sum is σ = 23940872373600. Its totient is φ = 3750757770240.

The previous prime is 10343024442137. The next prime is 10343024442181. The reversal of 10343024442140 is 4124442034301.

It is a super-2 number, since 2×103430244421402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10343024442097 and 10343024442106.

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 47 ways as a sum of consecutive naturals, for example, 139546811 + ... + 139620909.

It is an arithmetic number, because the mean of its divisors is an integer number (166256058150).

Almost surely, 210343024442140 is an apocalyptic number.

10343024442140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343024442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970436186800).

10343024442140 is an abundant number, since it is smaller than the sum of its proper divisors (13597847931460).

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

10343024442140 is a wasteful number, since it uses less digits than its factorization.

10343024442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74872 (or 74857 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10343024442140 its reverse (4124442034301), we get a palindrome (14467466476441).

The spelling of 10343024442140 in words is "ten trillion, three hundred forty-three billion, twenty-four million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 169 244 260 305 338 610 676 677 793 845 1220 1354 1586 1690 2708 3172 3380 3385 3965 6770 7930 8801 10309 13540 15860 17602 20618 35204 41236 41297 44005 51545 74099 82594 88010 103090 114413 148198 165188 176020 206180 206485 228826 296396 370495 412970 457652 536861 572065 740990 825940 963287 1073722 1144130 1481980 1926574 2147444 2288260 2684305 3853148 4520039 4816435 5368610 6979193 9040078 9632870 10737220 12522731 13958386 18080156 19265740 22600195 25045462 27916772 34895965 45200390 50090924 50165023 58760507 62613655 69791930 90400780 100330046 117521014 125227310 139583860 200660092 235042028 250454620 250825115 293802535 501650230 587605070 652145299 763886591 1003300460 1175210140 1304290598 1527773182 2608581196 3055546364 3060066403 3260726495 3819432955 6120132806 6521452990 7638865910 8477888887 12240265612 13042905980 15277731820 15300332015 16955777774 30600664030 33911555548 39780863239 42389444435 61201328060 79561726478 84778888870 159123452956 169557777740 198904316195 397808632390 517151222107 795617264780 1034302444214 2068604888428 2585756110535 5171512221070 10343024442140