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1120456425616 = 2411179307911551
BaseRepresentation
bin10000010011100000011…
…010000100000010010000
310222010002112102212012221
4100103200122010002100
5121324143321104431
62214421445430424
7143643645322243
oct20234032040220
93863075385187
101120456425616
113a2201495370
1216119a70b414
1381873bbc528
143c33224125a
151e22b829111
hex104e0684090

1120456425616 has 80 divisors (see below), whose sum is σ = 2382447513600. Its totient is φ = 506244816000.

The previous prime is 1120456425577. The next prime is 1120456425631. The reversal of 1120456425616 is 6165246540211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96995041 + ... + 97006591.

It is an arithmetic number, because the mean of its divisors is an integer number (29780593920).

Almost surely, 21120456425616 is an apocalyptic number.

1120456425616 is a gapful number since it is divisible by the number (16) 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 1120456425616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191223756800).

1120456425616 is an abundant number, since it is smaller than the sum of its proper divisors (1261991087984).

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

1120456425616 is a wasteful number, since it uses less digits than its factorization.

1120456425616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828 (or 14822 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 1120456425616 in words is "one trillion, one hundred twenty billion, four hundred fifty-six million, four hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 716 1432 1969 2864 3079 3938 6158 7876 11551 12316 15752 23102 24632 31504 33869 46204 49264 67738 92408 127061 135476 184816 254122 270952 508244 541904 551141 1016488 1102282 2032976 2067629 2204564 4135258 4409128 6062551 8270516 8818256 12125102 16541032 22743919 24250204 33082064 35565529 45487838 48500408 71131058 90975676 97000816 142262116 181951352 284524232 363902704 391220819 569048464 782441638 1564883276 3129766552 6259533104 6366229691 12732459382 25464918764 50929837528 70028526601 101859675056 140057053202 280114106404 560228212808 1120456425616