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34200552115114 = 27112176607179749
BaseRepresentation
bin1111100011010111011111…
…10000101000101110101010
311111002112121021120111110121
413301223233300220232222
513440320212320140424
6200423303341033454
710126623364300360
oct761535760505652
9144075537514417
1034200552115114
11a996411076100
123a0436785588a
131611137a57c88
1486345bc4b630
153e497c917ee4
hex1f1aefc28baa

34200552115114 has 96 divisors (see below), whose sum is σ = 68245547328000. Its totient is φ = 12539105441280.

The previous prime is 34200552115087. The next prime is 34200552115117. The reversal of 34200552115114 is 41151125500243.

It is a super-3 number, since 3×342005521151143 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34200552115114.

It is not an unprimeable number, because it can be changed into a prime (34200552115117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190178512 + ... + 190358260.

It is an arithmetic number, because the mean of its divisors is an integer number (710891118000).

Almost surely, 234200552115114 is an apocalyptic number.

34200552115114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34200552115114 is a deficient number, since it is larger than the sum of its proper divisors (34044995212886).

34200552115114 is a wasteful number, since it uses less digits than its factorization.

34200552115114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186404 (or 186393 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 34200552115114 its reverse (41151125500243), we get a palindrome (75351677615357).

The spelling of 34200552115114 in words is "thirty-four trillion, two hundred billion, five hundred fifty-two million, one hundred fifteen thousand, one hundred fourteen".

Divisors: 1 2 7 11 14 17 22 34 77 119 121 154 187 238 242 374 847 1309 1694 2057 2618 4114 6607 13214 14399 28798 46249 72677 92498 112319 145354 179749 224638 359498 508739 786233 799447 1017478 1235509 1258243 1572466 1598894 1977239 2471018 2516486 3055733 3954478 5596129 6111466 8648563 11192258 13590599 13840673 17297126 21390131 21749629 27181198 27681346 33613063 42780262 43499258 67226126 95134193 152247403 190268386 235291441 304494806 369743693 470582882 739487386 1187601643 2375203286 2588205851 5176411702 8313211501 13063618073 16626423002 20189227931 26127236146 40378455862 91445326511 141324595517 143699798803 182890653022 222081507241 282649191034 287399597606 444163014482 1005898591621 1554570550687 2011797183242 2442896579651 3109141101374 4885793159302 17100276057557 34200552115114