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13313404434204 = 22327479067123973
BaseRepresentation
bin1100000110111100010010…
…1111011111011100011100
31202010202020001020100220200
43001233010233133130130
53221111323013343304
644152032113143500
72542601400342120
oct301570457373434
952122201210820
1013313404434204
1142732017a5896
1215b028825ab90
137575aa8c06a4
1434052d4cd580
151814a3a34e39
hexc1bc4bdf71c

13313404434204 has 144 divisors (see below), whose sum is σ = 39283913131008. Its totient is φ = 3722456663424.

The previous prime is 13313404434193. The next prime is 13313404434221. The reversal of 13313404434204 is 40243440431331.

13313404434204 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 4 + 0 + 443 + 4 + 204 = 666.

It is a super-2 number, since 2×133134044342042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107327562 + ... + 107451534.

Almost surely, 213313404434204 is an apocalyptic number.

13313404434204 is a gapful number since it is divisible by the number (14) 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 13313404434204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641956565504).

13313404434204 is an abundant number, since it is smaller than the sum of its proper divisors (25970508696804).

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

13313404434204 is a wasteful number, since it uses less digits than its factorization.

13313404434204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133104 (or 133099 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13313404434204 its reverse (40243440431331), we get a palindrome (53556844865535).

The spelling of 13313404434204 in words is "thirteen trillion, three hundred thirteen billion, four hundred four million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 9067 11844 18134 27201 36268 54402 63469 81603 108804 123973 126938 163206 190407 247946 253876 326412 371919 380814 426149 495892 571221 743838 761628 852298 867811 1115757 1142442 1278447 1487676 1704596 1735622 2231514 2284884 2556894 2603433 2983043 3471244 3835341 4463028 5113788 5206866 5826731 5966086 7670682 7810299 8949129 10413732 11653462 11932172 15341364 15620598 17480193 17898258 23306924 26847387 31241196 34960386 35796516 40787117 52440579 53694774 69920772 81574234 104881158 107389548 122361351 163148468 209762316 244722702 367084053 489445404 734168106 1124063191 1468336212 2248126382 3372189573 4496252764 6744379146 7868442337 10116568719 13488758292 15736884674 20233137438 23605327011 31473769348 40466274876 47210654022 52830969977 70815981033 94421308044 105661939954 141631962066 158492909931 211323879908 283263924132 316985819862 369816789839 475478729793 633971639724 739633579678 950957459586 1109450369517 1479267159356 1901914919172 2218900739034 3328351108551 4437801478068 6656702217102 13313404434204