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114034530240 = 2633513198441
BaseRepresentation
bin110101000110011111…
…1001101011111000000
3101220100021002100102000
41222030333031133000
53332020314431430
6124215311424000
711144611341201
oct1521477153700
9356307070360
10114034530240
11443a8579424
121a125b25000
13a9a431b5c7
14573ad655a8
152e763dde60
hex1a8cfcd7c0

114034530240 has 112 divisors (see below), whose sum is σ = 402288512160. Its totient is φ = 30409205760.

The previous prime is 114034530227. The next prime is 114034530241. The reversal of 114034530240 is 42035430411.

It is a happy number.

114034530240 is a `hidden beast` number, since 1 + 14 + 0 + 345 + 302 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034530241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6590581 + ... + 6607860.

Almost surely, 2114034530240 is an apocalyptic number.

114034530240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114034530240 is an abundant number, since it is smaller than the sum of its proper divisors (288253981920).

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

114034530240 is a wasteful number, since it uses less digits than its factorization.

114034530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13198467 (or 13198451 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114034530240 its reverse (42035430411), we get a palindrome (156069960651).

The spelling of 114034530240 in words is "one hundred fourteen billion, thirty-four million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 13198441 26396882 39595323 52793764 65992205 79190646 105587528 118785969 131984410 158381292 197976615 211175056 237571938 263968820 316762584 356357907 395953230 422350112 475143876 527937640 593929845 633525168 712715814 791906460 844700224 950287752 1055875280 1187859690 1267050336 1425431628 1583812920 1781789535 1900575504 2111750560 2375719380 2534100672 2850863256 3167625840 3563579070 3801151008 4223501120 4751438760 5701726512 6335251680 7127158140 7602302016 9502877520 11403453024 12670503360 14254316280 19005755040 22806906048 28508632560 38011510080 57017265120 114034530240