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4914334194 = 23711174713313
BaseRepresentation
bin1001001001110101…
…01100100111110010
3110200111012001011120
410210322230213302
540031032143234
62131351123110
7232532102640
oct44472544762
913614161146
104914334194
1120a2017020
12b51973496
13604196673
14348962190
151db684049
hex124eac9f2

4914334194 has 128 divisors (see below), whose sum is σ = 13251796992. Its totient is φ = 1175715840.

The previous prime is 4914334193. The next prime is 4914334207.

4914334194 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4914334193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362482 + ... + 375794.

It is an arithmetic number, because the mean of its divisors is an integer number (103529664).

Almost surely, 24914334194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4914334194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625898496).

4914334194 is an abundant number, since it is smaller than the sum of its proper divisors (8337462798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4914334194 is a wasteful number, since it uses less digits than its factorization.

4914334194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400.

The product of its digits is 186624, while the sum is 42.

The square root of 4914334194 is about 70102.3123299082. The cubic root of 4914334194 is about 1700.1538723466.

The spelling of 4914334194 in words is "four billion, nine hundred fourteen million, three hundred thirty-four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 47 51 66 77 94 102 119 141 154 187 231 238 282 329 357 374 462 517 561 658 714 799 987 1034 1122 1309 1551 1598 1974 2397 2618 3102 3619 3927 4794 5593 7238 7854 8789 10857 11186 13313 16779 17578 21714 26367 26626 33558 39939 52734 61523 79878 93191 123046 146443 184569 186382 226321 279573 292886 369138 439329 452642 559146 625711 678963 878658 1025101 1251422 1357926 1584247 1877133 2050202 2489531 3075303 3168494 3754266 4379977 4752741 4979062 6150606 6882821 7468593 8759954 9505482 10637087 13139931 13765642 14937186 17426717 20648463 21274174 26279862 31911261 34853434 41296926 48179747 52280151 63822522 74459609 96359494 104560302 117007957 144539241 148919218 223378827 234015914 289078482 351023871 446757654 702047742 819055699 1638111398 2457167097 4914334194