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34214241243 = 3713229617887
BaseRepresentation
bin11111110111010100…
…111110001111011011
310021022110010112120010
4133313110332033123
51030032321204433
623415013533003
72320601152320
oct376724761733
9107273115503
1034214241243
1113568057936
12676a344163
1332c34b8c80
14192800ab47
15d53abce63
hex7f753e3db

34214241243 has 64 divisors (see below), whose sum is σ = 56546703360. Its totient is φ = 17918917632.

The previous prime is 34214241233. The next prime is 34214241263.

34214241243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34214241243 - 24 = 34214241227 is a prime.

It is a super-2 number, since 2×342142412432 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34214241243.

It is not an unprimeable number, because it can be changed into a prime (34214241233) 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, 38572546 + ... + 38573432.

It is an arithmetic number, because the mean of its divisors is an integer number (883542240).

Almost surely, 234214241243 is an apocalyptic number.

34214241243 is a deficient number, since it is larger than the sum of its proper divisors (22332462117).

34214241243 is a wasteful number, since it uses less digits than its factorization.

34214241243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756.

The product of its digits is 18432, while the sum is 30.

The spelling of 34214241243 in words is "thirty-four billion, two hundred fourteen million, two hundred forty-one thousand, two hundred forty-three".

Divisors: 1 3 7 13 21 39 91 229 273 617 687 887 1603 1851 2661 2977 4319 4809 6209 8021 8931 11531 12957 18627 20839 24063 34593 56147 62517 80717 141293 168441 203123 242151 423879 547279 609369 989051 1421861 1641837 1836809 2640599 2967153 3830953 4265583 5510427 7114627 7921797 11492859 12857663 18484193 21343881 38572989 49802389 55452579 125326891 149407167 375980673 877288237 1629249583 2631864711 4887748749 11404747081 34214241243