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104441214120 = 23351739535279
BaseRepresentation
bin110000101000100101…
…1100111010010101000
3100222120200120101200120
41201101023213102220
53202343422322440
6115551333403240
710355102446425
oct1412113472250
9328520511616
10104441214120
1140325384aa1
12182a9199520
139b05972aa9
1450aac26d4c
152ab40b4dd0
hex18512e74a8

104441214120 has 128 divisors (see below), whose sum is σ = 315525196800. Its totient is φ = 27655706624.

The previous prime is 104441214109. The next prime is 104441214131. The reversal of 104441214120 is 21412144401.

It is an interprime number because it is at equal distance from previous prime (104441214109) and next prime (104441214131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19781641 + ... + 19786919.

It is an arithmetic number, because the mean of its divisors is an integer number (2465040600).

Almost surely, 2104441214120 is an apocalyptic number.

104441214120 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 104441214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157762598400).

104441214120 is an abundant number, since it is smaller than the sum of its proper divisors (211083982680).

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

104441214120 is a wasteful number, since it uses less digits than its factorization.

104441214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 104441214120 its reverse (21412144401), we get a palindrome (125853358521).

The spelling of 104441214120 in words is "one hundred four billion, four hundred forty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 953 1038 1384 1730 1906 2076 2595 2859 3460 3812 4152 4765 5190 5279 5718 6920 7624 9530 10380 10558 11436 14295 15837 19060 20760 21116 22872 26395 28590 31674 38120 42232 52790 57180 63348 79185 105580 114360 126696 158370 164869 211160 316740 329738 494607 633480 659476 824345 913267 989214 1318952 1648690 1826534 1978428 2473035 2739801 3297380 3653068 3956856 4566335 4946070 5030887 5479602 6594760 7306136 9132670 9892140 10061774 10959204 13699005 15092661 18265340 19784280 20123548 21918408 25154435 27398010 30185322 36530680 40247096 50308870 54796020 60370644 75463305 100617740 109592040 120741288 150926610 201235480 301853220 603706440 870343451 1740686902 2611030353 3481373804 4351717255 5222060706 6962747608 8703434510 10444121412 13055151765 17406869020 20888242824 26110303530 34813738040 52220607060 104441214120