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114240024330100 = 225261132191416739
BaseRepresentation
bin11001111110011010010100…
…000100011011111101110100
3112222111020110201100210122221
4121332122110010123331310
5104433202032212030400
61042545050452132124
733030366204623014
oct3176322404337564
9488436421323587
10114240024330100
1133444a16559619
1210990595007044
134b98a32509906
14202d364c63c44
15d319a2832c1a
hex67e69411bf74

114240024330100 has 72 divisors (see below), whose sum is σ = 251984039871200. Its totient is φ = 44943462921600.

The previous prime is 114240024330073. The next prime is 114240024330233. The reversal of 114240024330100 is 1033420042411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79927531 + ... + 81344269.

Almost surely, 2114240024330100 is an apocalyptic number.

114240024330100 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 114240024330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125992019935600).

114240024330100 is an abundant number, since it is smaller than the sum of its proper divisors (137744015541100).

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

114240024330100 is a wasteful number, since it uses less digits than its factorization.

114240024330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430033 (or 1430026 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 114240024330100 its reverse (1033420042411), we get a palindrome (115273444372511).

The spelling of 114240024330100 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-four million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 13219 26438 52876 66095 132190 264380 330475 660950 806359 1321900 1416739 1612718 2833478 3225436 4031795 5666956 7083695 8063590 14167390 16127180 20158975 28334780 35418475 40317950 70836950 80635900 86421079 141673900 172842158 345684316 432105395 864210790 1728421580 2160526975 4321053950 8642107900 18727872841 37455745682 74911491364 93639364205 187278728410 374557456820 468196821025 936393642050 1142400243301 1872787284100 2284800486602 4569600973204 5712001216505 11424002433010 22848004866020 28560006082525 57120012165050 114240024330100