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4414301034 = 23111371233311
BaseRepresentation
bin1000001110001110…
…01110001101101010
3102101122021201121220
410013013032031222
533020030113114
62010005442510
7214250640213
oct40707161552
912348251556
104414301034
111965837780
12a32410436
135546cc460
142dc39c40a
151ac8110a9
hex1071ce36a

4414301034 has 128 divisors (see below), whose sum is σ = 10597257216. Its totient is φ = 1208256000.

The previous prime is 4414300997. The next prime is 4414301041. The reversal of 4414301034 is 4301034144.

It is a junction number, because it is equal to n+sod(n) for n = 4414300995 and 4414301013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14193739 + ... + 14194049.

It is an arithmetic number, because the mean of its divisors is an integer number (82791072).

Almost surely, 24414301034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414301034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298628608).

4414301034 is an abundant number, since it is smaller than the sum of its proper divisors (6182956182).

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

4414301034 is a wasteful number, since it uses less digits than its factorization.

4414301034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4414301034 is about 66440.2064566329. The cubic root of 4414301034 is about 1640.4159457063.

Adding to 4414301034 its reverse (4301034144), we get a palindrome (8715335178).

The spelling of 4414301034 in words is "four billion, four hundred fourteen million, three hundred one thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 142 143 213 233 286 311 426 429 466 622 699 781 858 923 933 1398 1562 1846 1866 2343 2563 2769 3029 3421 4043 4686 5126 5538 6058 6842 7689 8086 9087 10153 10263 12129 15378 16543 18174 20306 20526 22081 24258 30459 33086 33319 44162 44473 49629 60918 66243 66638 72463 88946 99258 99957 132486 133419 144926 181973 199914 215059 217389 242891 266838 287053 363946 430118 434778 485782 545919 574106 645177 728673 797093 861159 942019 1091838 1290354 1457346 1594186 1722318 1884038 2365649 2391279 2826057 3157583 4731298 4782558 5144873 5652114 6315166 7096947 9472749 10289746 10362209 14193894 15434619 18945498 20724418 30869238 31086627 56593603 62173254 66883349 113187206 133766698 169780809 200650047 339561618 401300094 735716839 1471433678 2207150517 4414301034