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104450111140 = 225231274993583
BaseRepresentation
bin110000101000110110…
…1100011011010100100
3100222121022022102002211
41201101231203122210
53202403212024030
6115552252213204
710355241203314
oct1412155433244
9328538272084
10104450111140
114032a401501
12182b016a204
139b077695bb
1450ac0a1444
152ab4c7112a
hex1851b636a4

104450111140 has 96 divisors (see below), whose sum is σ = 231211008000. Its totient is φ = 39558347136.

The previous prime is 104450111131. The next prime is 104450111201. The reversal of 104450111140 is 41111054401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29149789 + ... + 29153371.

It is an arithmetic number, because the mean of its divisors is an integer number (2408448000).

Almost surely, 2104450111140 is an apocalyptic number.

104450111140 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 104450111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115605504000).

104450111140 is an abundant number, since it is smaller than the sum of its proper divisors (126760896860).

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

104450111140 is a wasteful number, since it uses less digits than its factorization.

104450111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 104450111140 its reverse (41111054401), we get a palindrome (145561165541).

The spelling of 104450111140 in words is "one hundred four billion, four hundred fifty million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 499 508 635 998 1270 1996 2495 2540 2921 3583 4990 5842 7166 9980 11477 11684 14332 14605 17915 22954 29210 35830 45908 57385 58420 63373 71660 82409 114770 126746 164818 229540 253492 316865 329636 412045 455041 633730 824090 910082 1267460 1457579 1648180 1787917 1820164 2275205 2915158 3575834 4550410 5830316 7151668 7287895 8939585 9100820 10465943 14575790 17879170 20931886 29151580 35758340 41122091 41863772 52329715 82244182 104659430 164488364 205610455 209318860 227065459 411220910 454130918 822441820 908261836 1135327295 2270654590 4541309180 5222505557 10445011114 20890022228 26112527785 52225055570 104450111140