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14336626043142 = 2331389972365637
BaseRepresentation
bin1101000010100000000110…
…0000001010100100000110
31212202120100010012202022000
43100220001200022210012
53334342402231340032
650254053255250130
73006533646455004
oct320500140124406
955676303182260
1014336626043142
114628146712227
12173664b079946
137ccc26b2a220
14377c79a2da74
1519cdddc82e7c
hexd0a0180a906

14336626043142 has 128 divisors (see below), whose sum is σ = 35053077628800. Its totient is φ = 4316736872448.

The previous prime is 14336626043111. The next prime is 14336626043143. The reversal of 14336626043142 is 24134062663341.

It is a happy number.

14336626043142 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 6 + 6 + 2 + 604 + 31 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14336626043143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4877548 + ... + 7243184.

It is an arithmetic number, because the mean of its divisors is an integer number (273852168975).

Almost surely, 214336626043142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14336626043142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526538814400).

14336626043142 is an abundant number, since it is smaller than the sum of its proper divisors (20716451585658).

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

14336626043142 is a wasteful number, since it uses less digits than its factorization.

14336626043142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365847 (or 2365841 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 14336626043142 in words is "fourteen trillion, three hundred thirty-six billion, six hundred twenty-six million, forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 97 117 178 194 234 267 291 351 534 582 702 801 873 1157 1261 1602 1746 2314 2403 2522 2619 3471 3783 4806 5238 6942 7566 8633 10413 11349 17266 20826 22698 25899 31239 34047 51798 62478 68094 77697 112229 155394 224458 233091 336687 466182 673374 1010061 2020122 2365637 3030183 4731274 6060366 7096911 14193822 21290733 30753281 42581466 61506562 63872199 92259843 127744398 184519686 210541693 229466789 276779529 421083386 458933578 553559058 631625079 688400367 830338587 1263250158 1376800734 1660677174 1894875237 2065201101 2737042009 2983068257 3789750474 4130402202 5474084018 5684625711 5966136514 6195603303 8211126027 8949204771 11369251422 12391206606 16422252054 17898409542 20422544221 24633378081 26847614313 40845088442 49266756162 53695228626 61267632663 73900134243 80542842939 122535265326 147800268486 161085685878 183802897989 265493074873 367605795978 530986149746 551408693967 796479224619 1102817387934 1592958449238 2389437673857 4778875347714 7168313021571 14336626043142