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34253433435243 = 31131474331645291
BaseRepresentation
bin1111100100111001111111…
…01110110111010001101011
311111021121002200002220020210
413302130333232313101223
513442202012424411433
6200503450551152203
710133505004143351
oct762347756672153
9144247080086223
1034253433435243
11aa06888209660
123a12665675663
131616114728149
14865c370cd7d1
153e602520c463
hex1f273fbb746b

34253433435243 has 64 divisors (see below), whose sum is σ = 52645974441984. Its totient is φ = 19617121728000.

The previous prime is 34253433435167. The next prime is 34253433435253.

It is a happy number.

34253433435243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34253433435243 - 214 = 34253433418859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34253433435192 and 34253433435201.

It is not an unprimeable number, because it can be changed into a prime (34253433435253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19996428 + ... + 21641718.

It is an arithmetic number, because the mean of its divisors is an integer number (822593350656).

Almost surely, 234253433435243 is an apocalyptic number.

34253433435243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34253433435243 is a deficient number, since it is larger than the sum of its proper divisors (18392541006741).

34253433435243 is a wasteful number, since it uses less digits than its factorization.

34253433435243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645816.

The product of its digits is 18662400, while the sum is 48.

The spelling of 34253433435243 in words is "thirty-four trillion, two hundred fifty-three billion, four hundred thirty-three million, four hundred thirty-five thousand, two hundred forty-three".

Divisors: 1 3 11 31 33 47 93 141 341 433 517 1023 1299 1457 1551 4371 4763 13423 14289 16027 20351 40269 48081 61053 147653 223861 442959 630881 671583 1645291 1892643 4935873 6939691 18098201 20819073 51004021 54294603 77328677 153012063 231986031 561044231 712411003 850615447 1683132693 2137233009 2397188987 2551846341 7191566961 7836521033 22084741093 23509563099 26369078857 33483317141 66254223279 79107236571 100449951423 242932152023 368316488551 728796456069 1037982831371 1104949465653 3113948494113 11417811145081 34253433435243