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30420411450 = 235211131418201
BaseRepresentation
bin11100010101001100…
…101010010000111010
32220112001101000110120
4130111030222100322
5444300111131300
621550330554110
72124563142132
oct342514522072
986461330416
1030420411450
11119a0590410
125a8b898936
132b3a502180
141688203ac2
15bd09c03a0
hex71532a43a

30420411450 has 96 divisors (see below), whose sum is σ = 88631952192. Its totient is φ = 6807360000.

The previous prime is 30420411449. The next prime is 30420411457. The reversal of 30420411450 is 5411402403.

It is a super-2 number, since 2×304204114502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30420411450.

It is not an unprimeable number, because it can be changed into a prime (30420411457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687651 + ... + 730550.

It is an arithmetic number, because the mean of its divisors is an integer number (923249502).

Almost surely, 230420411450 is an apocalyptic number.

30420411450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30420411450 is an abundant number, since it is smaller than the sum of its proper divisors (58211540742).

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

30420411450 is a wasteful number, since it uses less digits than its factorization.

30420411450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418240 (or 1418235 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 30420411450 its reverse (5411402403), we get a palindrome (35831813853).

The spelling of 30420411450 in words is "thirty billion, four hundred twenty million, four hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 195 275 286 325 330 390 429 550 650 715 825 858 975 1430 1650 1950 2145 3575 4290 7150 10725 21450 1418201 2836402 4254603 7091005 8509206 14182010 15600211 18436613 21273015 31200422 35455025 36873226 42546030 46800633 55309839 70910050 78001055 92183065 93601266 106365075 110619678 156002110 184366130 202802743 212730150 234003165 276549195 390005275 405605486 460915325 468006330 553098390 608408229 780010550 921830650 1014013715 1170015825 1216816458 1382745975 2028027430 2340031650 2765491950 3042041145 5070068575 6084082290 10140137150 15210205725 30420411450