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6412300290300 = 22352227397237179
BaseRepresentation
bin101110101001111101011…
…1000011000100011111100
3211201000021020021102002110
41131103322320120203330
51320024342333242200
621345434201054020
71231162531104642
oct135237270304374
924630236242073
106412300290300
112052494388a23
128768b6487310
133768a6102908
141824dd81b192
15b1bea66bb50
hex5d4fae188fc

6412300290300 has 144 divisors (see below), whose sum is σ = 18681670546560. Its totient is φ = 1698118583040.

The previous prime is 6412300290289. The next prime is 6412300290301. The reversal of 6412300290300 is 30920032146.

It is a super-2 number, since 2×64123002903002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412300290301) 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, 26917111 + ... + 27154289.

It is an arithmetic number, because the mean of its divisors is an integer number (129733823240).

Almost surely, 26412300290300 is an apocalyptic number.

6412300290300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412300290300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340835273280).

6412300290300 is an abundant number, since it is smaller than the sum of its proper divisors (12269370256260).

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

6412300290300 is a wasteful number, since it uses less digits than its factorization.

6412300290300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237820 (or 237813 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 6412300290300 in words is "six trillion, four hundred twelve billion, three hundred million, two hundred ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 397 454 681 794 908 1135 1191 1362 1588 1985 2270 2382 2724 3405 3970 4540 4764 5675 5955 6810 7940 9925 11350 11910 13620 17025 19850 22700 23820 29775 34050 39700 59550 68100 90119 119100 180238 237179 270357 360476 450595 474358 540714 711537 901190 948716 1081428 1185895 1351785 1423074 1802380 2252975 2371790 2703570 2846148 3557685 4505950 4743580 5407140 5929475 6758925 7115370 9011900 11858950 13517850 14230740 17788425 23717900 27035700 35576850 53839633 71153700 94160063 107679266 161518899 188320126 215358532 269198165 282480189 323037798 376640252 470800315 538396330 564960378 646075596 807594495 941600630 1076792660 1129920756 1345990825 1412400945 1615188990 1883201260 2354001575 2691981650 2824801890 3230377980 4037972475 4708003150 5383963300 5649603780 7062004725 8075944950 9416006300 14124009450 16151889900 21374334301 28248018900 42748668602 64123002903 85497337204 106871671505 128246005806 213743343010 256492011612 320615014515 427486686020 534358357525 641230029030 1068716715050 1282460058060 1603075072575 2137433430100 3206150145150 6412300290300