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1104025441440 = 25356593490217
BaseRepresentation
bin10000000100001101000…
…010110101010010100000
310220112200102122101021110
4100010031002311102200
5121042021003111230
62203103212423320
7142522531262265
oct20041502652240
93815612571243
101104025441440
1139623a6417a9
12159b73a77b40
1380155a66a9c
143b613d6126c
151dab909e4b0
hex1010d0b54a0

1104025441440 has 96 divisors (see below), whose sum is σ = 3482958346560. Its totient is φ = 293959952384.

The previous prime is 1104025441369. The next prime is 1104025441447. The reversal of 1104025441440 is 441445204011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1104025441398 and 1104025441407.

It is not an unprimeable number, because it can be changed into a prime (1104025441447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428789 + ... + 2061428.

It is an arithmetic number, because the mean of its divisors is an integer number (36280816110).

Almost surely, 21104025441440 is an apocalyptic number.

1104025441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104025441440 is an abundant number, since it is smaller than the sum of its proper divisors (2378932905120).

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

1104025441440 is a wasteful number, since it uses less digits than its factorization.

1104025441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490894 (or 3490886 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 1104025441440 in words is "one trillion, one hundred four billion, twenty-five million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 21088 26360 31632 39540 52720 63264 79080 105440 158160 316320 3490217 6980434 10470651 13960868 17451085 20941302 27921736 34902170 41882604 52353255 55843472 69804340 83765208 104706510 111686944 139608680 167530416 209413020 279217360 335060832 418826040 558434720 837652080 1675304160 2300053003 4600106006 6900159009 9200212012 11500265015 13800318018 18400424024 23000530030 27600636036 34500795045 36800848048 46001060060 55201272072 69001590090 73601696096 92002120120 110402544144 138003180180 184004240240 220805088288 276006360360 368008480480 552012720720 1104025441440