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1122440303440 = 24597655322073
BaseRepresentation
bin10000010101010110101…
…001111101001101010000
310222022012210110021222101
4100111112221331031100
5121342224204202230
62215350355050144
7144044055105511
oct20252651751520
93868183407871
101122440303440
113a302a320115
12161652ba0954
1381acbc10531
143c47d900a08
151e2e5aa4aca
hex10556a7d350

1122440303440 has 80 divisors (see below), whose sum is σ = 2637099371088. Its totient is φ = 444259565568.

The previous prime is 1122440303381. The next prime is 1122440303477. The reversal of 1122440303440 is 443030442211.

It can be written as a sum of positive squares in 8 ways, for example, as 17898158656 + 1104542144784 = 133784^2 + 1050972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1122440303399 and 1122440303408.

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 15 ways as a sum of consecutive naturals, for example, 50840244 + ... + 50862316.

Almost surely, 21122440303440 is an apocalyptic number.

1122440303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122440303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318549685544).

1122440303440 is an abundant number, since it is smaller than the sum of its proper divisors (1514659067648).

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

1122440303440 is a wasteful number, since it uses less digits than its factorization.

1122440303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28736 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1122440303440 its reverse (443030442211), we get a palindrome (1565470745651).

The spelling of 1122440303440 in words is "one trillion, one hundred twenty-two billion, four hundred forty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 6553 7760 13106 22073 26212 32765 44146 52424 65530 88292 104848 110365 131060 176584 220730 262120 353168 441460 524240 635641 882920 1271282 1765840 2141081 2542564 3178205 4282162 5085128 6356410 8564324 10170256 10705405 12712820 17128648 21410810 25425640 34257296 42821620 50851280 85643240 144644369 171286480 289288738 578577476 723221845 1157154952 1446443690 2314309904 2892887380 5785774760 11571549520 14030503793 28061007586 56122015172 70152518965 112244030344 140305037930 224488060688 280610075860 561220151720 1122440303440