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1105245424000 = 2753101683939
BaseRepresentation
bin10000000101010101110…
…000101100100110000000
310220122211110020220201201
4100011111300230212000
5121102020312032000
62203424233110544
7142565004044614
oct20052560544600
93818743226651
101105245424000
11396806256753
1215a254558454
13802bb736763
143b6cbdb3344
151db3b23596a
hex10155c2c980

1105245424000 has 128 divisors (see below), whose sum is σ = 2775127586400. Its totient is φ = 437720320000.

The previous prime is 1105245423943. The next prime is 1105245424021. The reversal of 1105245424000 is 4245425011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11052454240003 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1105245424000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274031 + ... + 1957969.

Almost surely, 21105245424000 is an apocalyptic number.

1105245424000 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 1105245424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387563793200).

1105245424000 is an abundant number, since it is smaller than the sum of its proper divisors (1669882162400).

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

1105245424000 is an equidigital number, since it uses as much as digits as its factorization.

1105245424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684069 (or 684047 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 1105245424000 in words is "one trillion, one hundred five billion, two hundred forty-five million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 640 800 808 1000 1010 1600 1616 2000 2020 2525 3200 3232 4000 4040 5050 6464 8000 8080 10100 12625 12928 16000 16160 20200 25250 32320 40400 50500 64640 80800 101000 161600 202000 323200 404000 683939 808000 1367878 1616000 2735756 3419695 5471512 6839390 10943024 13678780 17098475 21886048 27357560 34196950 43772096 54715120 68393900 69077839 85492375 87544192 109430240 136787800 138155678 170984750 218860480 273575600 276311356 341969500 345389195 437720960 547151200 552622712 683939000 690778390 1094302400 1105245424 1367878000 1381556780 1726945975 2188604800 2210490848 2735756000 2763113560 3453891950 4420981696 5471512000 5526227120 6907783900 8634729875 8841963392 10943024000 11052454240 13815567800 17269459750 22104908480 27631135600 34538919500 44209816960 55262271200 69077839000 110524542400 138155678000 221049084800 276311356000 552622712000 1105245424000