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114210444140 = 2251317233110899
BaseRepresentation
bin110101001011101111…
…0010001001101101100
3101220210112002200220122
41222113132101031230
53332400333203030
6124244554104112
711152145520542
oct1522736211554
9356715080818
10114210444140
1144488900111
121a174a1b038
13aa018c1680
145756477d92
152e86a8b8e5
hex1a9779136c

114210444140 has 96 divisors (see below), whose sum is σ = 274661150400. Its totient is φ = 39518724096.

The previous prime is 114210444137. The next prime is 114210444169. The reversal of 114210444140 is 41444012411.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 974411 + ... + 1085309.

It is an arithmetic number, because the mean of its divisors is an integer number (2861053650).

Almost surely, 2114210444140 is an apocalyptic number.

114210444140 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 114210444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137330575200).

114210444140 is an abundant number, since it is smaller than the sum of its proper divisors (160450706260).

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

114210444140 is a wasteful number, since it uses less digits than its factorization.

114210444140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111171 (or 111169 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 114210444140 its reverse (41444012411), we get a palindrome (155654456551).

The spelling of 114210444140 in words is "one hundred fourteen billion, two hundred ten million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 233 260 340 442 466 884 932 1105 1165 2210 2330 3029 3961 4420 4660 6058 7922 12116 15145 15844 19805 30290 39610 51493 60580 79220 102986 110899 205972 221798 257465 443596 514930 554495 1029860 1108990 1441687 1885283 2217980 2883374 3770566 5766748 7208435 7541132 9426415 14416870 18852830 24508679 25839467 28833740 37705660 49017358 51678934 98034716 103357868 122543395 129197335 245086790 258394670 335913071 439270939 490173580 516789340 671826142 878541878 1343652284 1679565355 1757083756 2196354695 3359130710 4392709390 5710522207 6718261420 8785418780 11421044414 22842088828 28552611035 57105222070 114210444140