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434421001300 = 2252111330379091
BaseRepresentation
bin1100101001001011000…
…00100110110001010100
31112112022112202102000211
412110211200212301110
524104143234020200
6531323101415204
743246233404326
oct6244540466124
91475275672024
10434421001300
1115826736a110
127023a86a504
1331c7290a530
1417051831616
15b478708aba
hex6525826c54

434421001300 has 72 divisors (see below), whose sum is σ = 1107500177952. Its totient is φ = 145819632000.

The previous prime is 434421001243. The next prime is 434421001319. The reversal of 434421001300 is 3100124434.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15175246 + ... + 15203845.

It is an arithmetic number, because the mean of its divisors is an integer number (15381946916).

Almost surely, 2434421001300 is an apocalyptic number.

It is an amenable number.

434421001300 is an abundant number, since it is smaller than the sum of its proper divisors (673079176652).

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

434421001300 is a wasteful number, since it uses less digits than its factorization.

434421001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30379129 (or 30379122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 434421001300 its reverse (3100124434), we get a palindrome (437521125734).

The spelling of 434421001300 in words is "four hundred thirty-four billion, four hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 30379091 60758182 121516364 151895455 303790910 334170001 394928183 607581820 668340002 759477275 789856366 1336680004 1518954550 1579712732 1670850005 1974640915 3037909100 3341700010 3949281830 4344210013 6683400020 7898563660 8354250025 8688420026 9873204575 16708500050 17376840052 19746409150 21721050065 33417000100 39492818300 43442100130 86884200260 108605250325 217210500650 434421001300