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214002442333420 = 225132333532559299
BaseRepresentation
bin110000101010001001010011…
…100011100110110011101100
31001001201102201011020101221021
4300222021103203212303230
5211022204000214132140
62035051210444143524
763035111006325646
oct6052112343466354
91031642634211837
10214002442333420
1162207a20735204
1220003134b37ba4
139254461201420
143abbab85b1896
1519b1a645c6b4a
hexc2a2538e6cec

214002442333420 has 48 divisors (see below), whose sum is σ = 486051899205600. Its totient is φ = 78677160685056.

The previous prime is 214002442333367. The next prime is 214002442333423. The reversal of 214002442333420 is 24333244200412.

It is not an unprimeable number, because it can be changed into a prime (214002442333423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1766219070 + ... + 1766340229.

It is an arithmetic number, because the mean of its divisors is an integer number (10126081233450).

Almost surely, 2214002442333420 is an apocalyptic number.

214002442333420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002442333420 is an abundant number, since it is smaller than the sum of its proper divisors (272049456872180).

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

214002442333420 is a wasteful number, since it uses less digits than its factorization.

214002442333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532559554 (or 3532559552 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 214002442333420 its reverse (24333244200412), we get a palindrome (238335686533832).

The spelling of 214002442333420 in words is "two hundred fourteen trillion, two billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 932 1165 2330 3029 4660 6058 12116 15145 30290 60580 3532559299 7065118598 14130237196 17662796495 35325592990 45923270887 70651185980 91846541774 183693083548 229616354435 459232708870 823086316667 918465417740 1646172633334 3292345266668 4115431583335 8230863166670 10700122116671 16461726333340 21400244233342 42800488466684 53500610583355 107001221166710 214002442333420