Search a number
-
+
7104141006820 = 225111317146115611
BaseRepresentation
bin110011101100000111111…
…0011010001011111100100
3221011011000210122021001221
41213120033303101133210
51412343240044204240
623035333004430124
71332154144134664
oct147301763213744
927134023567057
107104141006820
112299938437130
129689b6548344
133c6bc102a160
141a7bb12341a4
15c4bdd263a4a
hex6760fcd17e4

7104141006820 has 96 divisors (see below), whose sum is σ = 18557851648896. Its totient is φ = 2244335769600.

The previous prime is 7104141006817. The next prime is 7104141006829. The reversal of 7104141006820 is 286001414017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (7104141006829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73009186 + ... + 73106425.

It is an arithmetic number, because the mean of its divisors is an integer number (193310954676).

Almost surely, 27104141006820 is an apocalyptic number.

It is an amenable number.

7104141006820 is an abundant number, since it is smaller than the sum of its proper divisors (11453710642076).

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

7104141006820 is a wasteful number, since it uses less digits than its factorization.

7104141006820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146115661 (or 146115659 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 7104141006820 in words is "seven trillion, one hundred four billion, one hundred forty-one million, six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4862 9724 12155 24310 48620 146115611 292231222 584462444 730578055 1461156110 1607271721 1899502943 2483965387 2922312220 3214543442 3799005886 4967930774 6429086884 7598011772 8036358605 9497514715 9935861548 12419826935 16072717210 18995029430 20894532373 24839653870 27323619257 32145434420 32291550031 37990058860 41789064746 49679307740 54647238514 64583100062 83578129492 104472661865 109294477028 129166200124 136618096285 161457750155 208945323730 273236192570 322915500310 355207050341 417890647460 546472385140 645831000620 710414100682 1420828201364 1776035251705 3552070503410 7104141006820