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2000313214400 = 26521773540927
BaseRepresentation
bin11101000110111011111…
…101010110010111000000
321002020011021012210100102
4131012323331112113000
5230233120140330100
64130533050141532
7264342424532414
oct35067375262700
97066137183312
102000313214400
11701367730466
12283810a218a8
1311682340ab37
146cb5c302d44
153707574bcd5
hex1d1bbf565c0

2000313214400 has 84 divisors (see below), whose sum is σ = 5211551403648. Its totient is φ = 753059082240.

The previous prime is 2000313214387. The next prime is 2000313214441. The reversal of 2000313214400 is 44123130002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36743264 + ... + 36797663.

Almost surely, 22000313214400 is an apocalyptic number.

2000313214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000313214400 is an abundant number, since it is smaller than the sum of its proper divisors (3211238189248).

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

2000313214400 is a wasteful number, since it uses less digits than its factorization.

2000313214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73540966 (or 73540951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2000313214400 its reverse (44123130002), we get a palindrome (2044436344402).

The spelling of 2000313214400 in words is "two trillion, three hundred thirteen million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 73540927 147081854 294163708 367704635 588327416 735409270 1176654832 1250195759 1470818540 1838523175 2353309664 2500391518 2941637080 3677046350 4706619328 5000783036 5883274160 6250978795 7354092700 10001566072 11766548320 12501957590 14708185400 20003132144 23533096640 25003915180 29416370800 31254893975 40006264288 50007830360 58832741600 62509787950 80012528576 100015660720 117665483200 125019575900 200031321440 250039151800 400062642880 500078303600 1000156607200 2000313214400