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2121420352240 = 24573788250629
BaseRepresentation
bin11110110111101110100…
…000011010101011110000
321111210202102122211110001
4132313232200122223300
5234224132102232430
64302322252315344
7306160526320060
oct36675640325360
97453672584401
102121420352240
11748764535632
122a318b472b54
13125083aa4a47
147496a6c53a0
153a2b29e83ca
hex1edee81aaf0

2121420352240 has 40 divisors (see below), whose sum is σ = 5636916937440. Its totient is φ = 727344120576.

The previous prime is 2121420352223. The next prime is 2121420352241. The reversal of 2121420352240 is 422530241212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2121420352199 and 2121420352208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121420352241) 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 7 ways as a sum of consecutive naturals, for example, 1894124755 + ... + 1894125874.

It is an arithmetic number, because the mean of its divisors is an integer number (140922923436).

Almost surely, 22121420352240 is an apocalyptic number.

2121420352240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121420352240 is an abundant number, since it is smaller than the sum of its proper divisors (3515496585200).

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

2121420352240 is a wasteful number, since it uses less digits than its factorization.

2121420352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788250649 (or 3788250643 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2121420352240 its reverse (422530241212), we get a palindrome (2543950593452).

The spelling of 2121420352240 in words is "two trillion, one hundred twenty-one billion, four hundred twenty million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3788250629 7576501258 15153002516 18941253145 26517754403 30306005032 37882506290 53035508806 60612010064 75765012580 106071017612 132588772015 151530025160 212142035224 265177544030 303060050320 424284070448 530355088060 1060710176120 2121420352240