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1124456641104 = 243103670133941
BaseRepresentation
bin10000010111001110110…
…101101011001001010000
310222111102022112212021010
4100113032311223021100
5121410341400003404
62220322424130520
7144145040514126
oct20271665531120
93874368485233
101124456641104
113a3974506485
12161b16306a40
1382060888044
143c5d160d916
151e3b2ae3189
hex105ced6b250

1124456641104 has 80 divisors (see below), whose sum is σ = 2933572846464. Its totient is φ = 371113536000.

The previous prime is 1124456641079. The next prime is 1124456641123. The reversal of 1124456641104 is 4011466544211.

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, 33112774 + ... + 33146714.

Almost surely, 21124456641104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124456641104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466786423232).

1124456641104 is an abundant number, since it is smaller than the sum of its proper divisors (1809116205360).

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

1124456641104 is a wasteful number, since it uses less digits than its factorization.

1124456641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40756 (or 40750 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 1124456641104 in words is "one trillion, one hundred twenty-four billion, four hundred fifty-six million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 6701 13402 20103 26804 33941 40206 53608 67882 80412 101823 107216 135764 160824 203646 271528 321648 407292 543056 690203 814584 1380406 1629168 2070609 2760812 3495923 4141218 5521624 6991846 8282436 10487769 11043248 13983692 16564872 20975538 27967384 33129744 41951076 55934768 83902152 167804304 227438641 454877282 682315923 909754564 1364631846 1819509128 2729263692 3639018256 5458527384 10917054768 23426180023 46852360046 70278540069 93704720092 140557080138 187409440184 281114160276 374818880368 562228320552 1124456641104