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3331143421300 = 2252181267768749
BaseRepresentation
bin110000011110010111100…
…111101100110101110100
3102210110021010001000201101
4300132113213230311310
5414034140203440200
611030150044135444
7462444560616202
oct60362747546564
912713233030641
103331143421300
111074803689392
12459721237584
131b2182898446
14b732a286072
155b9b60dd26a
hex307979ecd74

3331143421300 has 72 divisors (see below), whose sum is σ = 7271339075000. Its totient is φ = 1324581465600.

The previous prime is 3331143421261. The next prime is 3331143421313. The reversal of 3331143421300 is 31243411333.

It can be written as a sum of positive squares in 12 ways, for example, as 3281409069156 + 49734352144 = 1811466^2 + 223012^2 .

It is a super-2 number, since 2×33311434213002 (a number of 26 digits) contains 22 as substring.

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, 48419326 + ... + 48488074.

Almost surely, 23331143421300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331143421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635669537500).

3331143421300 is an abundant number, since it is smaller than the sum of its proper divisors (3940195653700).

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

3331143421300 is a wasteful number, since it uses less digits than its factorization.

3331143421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71621 (or 71614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 3331143421300 its reverse (31243411333), we get a palindrome (3362386832633).

The spelling of 3331143421300 in words is "three trillion, three hundred thirty-one billion, one hundred forty-three million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 2677 3620 4525 5354 9050 10708 13385 18100 26770 53540 66925 68749 133850 137498 267700 274996 343745 484537 687490 969074 1374980 1718725 1938148 2422685 3437450 4845370 6874900 9690740 12113425 12443569 24226850 24887138 48453700 49774276 62217845 124435690 184041073 248871380 311089225 368082146 622178450 736164292 920205365 1244356900 1840410730 3680821460 4601026825 9202053650 18404107300 33311434213 66622868426 133245736852 166557171065 333114342130 666228684260 832785855325 1665571710650 3331143421300