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34055533555043 = 711131916714597349
BaseRepresentation
bin1111011111001001010111…
…11110101110110101100011
311110120200021200120100112012
413233210223332232311203
513430431213042230133
6200232521322023135
710113300604002530
oct757445376566543
9143520250510465
1034055533555043
11a93a963958560
1239a0235347aab
131600566539510
1485a421cc9d87
153e0ce1325b48
hex1ef92bfaed63

34055533555043 has 128 divisors (see below), whose sum is σ = 48459479040000. Its totient is φ = 23048345802240.

The previous prime is 34055533555037. The next prime is 34055533555061.

34055533555043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34055533555043 - 26 = 34055533554979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34055533554982 and 34055533555000.

It is not an unprimeable number, because it can be changed into a prime (34055533555013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4634032733 + ... + 4634040081.

It is an arithmetic number, because the mean of its divisors is an integer number (378589680000).

Almost surely, 234055533555043 is an apocalyptic number.

34055533555043 is a deficient number, since it is larger than the sum of its proper divisors (14403945484957).

34055533555043 is a wasteful number, since it uses less digits than its factorization.

34055533555043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025.

The product of its (nonzero) digits is 20250000, while the sum is 50.

The spelling of 34055533555043 in words is "thirty-four trillion, fifty-five billion, five hundred thirty-three million, five hundred fifty-five thousand, forty-three".

Divisors: 1 7 11 13 19 77 91 133 143 167 209 247 1001 1169 1459 1463 1729 1837 2171 2717 3173 7349 10213 12859 15197 16049 18967 19019 22211 23881 27721 34903 41249 51443 80839 95537 112343 132769 139631 167167 194047 208637 243653 244321 288743 304931 360373 453739 565873 668759 977417 1050907 1227283 1460459 1535941 1705571 1815203 2134517 2522611 2680183 3167489 3176173 3964103 4629407 7356349 8590981 10722191 10751587 12706421 13500113 15954679 18761281 19967233 22172423 23318377 27748721 32405849 34842379 50923477 60182291 75055337 94500791 111682753 117944101 139388483 139770631 163228639 175501469 203721629 243896653 256502147 303138901 356464339 421276037 662005201 825608707 975719381 1228510283 1426051403 1533273313 1790605897 1795515029 2121972307 2240937919 2648381177 3334527911 4634036407 10732913191 12534241279 15686565433 18538668239 19696664867 23277876661 23341695377 29132192947 34021512043 137876654069 162945136627 203925350629 238150584301 256056643271 374236632473 442279656559 1792396502897 2619656427311 3095957595913 4865076222149 34055533555043