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1121235315444 = 223238980065361
BaseRepresentation
bin10000010100001110110…
…101010010101011110100
310222012002211001120012100
4100110032311102223310
5121332242220043234
62215031032022100
7144002153634126
oct20241665225364
93865084046170
101121235315444
113a2571117872
12161377531930
138196939089a
143c3a7873216
151e274dd1399
hex1050ed52af4

1121235315444 has 36 divisors (see below), whose sum is σ = 2841519697380. Its totient is φ = 372784316160.

The previous prime is 1121235315413. The next prime is 1121235315461. The reversal of 1121235315444 is 4445135321211.

1121235315444 is a `hidden beast` number, since 1 + 1 + 212 + 353 + 1 + 54 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 803511446544 + 317723868900 = 896388^2 + 563670^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1121235315399 and 1121235315408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40018677 + ... + 40046684.

It is an arithmetic number, because the mean of its divisors is an integer number (78931102705).

Almost surely, 21121235315444 is an apocalyptic number.

It is an amenable number.

1121235315444 is an abundant number, since it is smaller than the sum of its proper divisors (1720284381936).

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

1121235315444 is a wasteful number, since it uses less digits than its factorization.

1121235315444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80065760 (or 80065755 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 1121235315444 in words is "one trillion, one hundred twenty-one billion, two hundred thirty-five million, three hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 80065361 160130722 240196083 320261444 480392166 720588249 960784332 1441176498 2882352996 31145425429 62290850858 93436276287 124581701716 186872552574 280308828861 373745105148 560617657722 1121235315444