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34445854443 = 37112133728183
BaseRepresentation
bin100000000101001000…
…100000011011101011
310021220120221201010210
4200011020200123223
51031021114320233
623454010112203
72326412634420
oct400510403353
9107816851123
1034445854443
1113676872300
126813a1b663
13332c4915c0
14194aa9bd47
15d690be163
hex8052206eb

34445854443 has 96 divisors (see below), whose sum is σ = 63813987328. Its totient is φ = 16070503680.

The previous prime is 34445854423. The next prime is 34445854447.

34445854443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34445854443 - 26 = 34445854379 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34445854392 and 34445854401.

It is not an unprimeable number, because it can be changed into a prime (34445854447) 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 95 ways as a sum of consecutive naturals, for example, 1208130 + ... + 1236312.

Almost surely, 234445854443 is an apocalyptic number.

34445854443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34445854443 is a deficient number, since it is larger than the sum of its proper divisors (29368132885).

34445854443 is a wasteful number, since it uses less digits than its factorization.

34445854443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28265 (or 28254 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

It can be divided in two parts, 34445 and 854443, that added together give a palindrome (888888).

The spelling of 34445854443 in words is "thirty-four billion, four hundred forty-five million, eight hundred fifty-four thousand, four hundred forty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 10101 11011 13431 15873 28183 31339 33033 37037 58201 84549 94017 111111 174603 197281 310013 366379 407407 591843 930039 1042771 1099137 1222221 2170091 2564653 3128313 3410143 4030169 6510273 7299397 7693959 10230429 11470481 12090507 13556023 21898191 23871001 28211183 34411443 40668069 44331859 71613003 80293367 84633549 94892161 126175291 132995577 149116253 240880101 284676483 310323013 378525873 447348759 883227037 930969039 1043813771 1640278783 2649681111 3131441313 4920836349 11481951481 34445854443