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114043130304 = 26319101309523
BaseRepresentation
bin110101000110110000…
…0000001000111000000
3101220100212021021110220
41222031200001013000
53332030020132204
6124220220023040
711145044420235
oct1521540010700
9356325237426
10114043130304
1144402412814
121a128991a80
13a9a603cbbc
14573c16378c
152e7703c1d9
hex1a8d8011c0

114043130304 has 112 divisors (see below), whose sum is σ = 320765911680. Its totient is φ = 35656934400.

The previous prime is 114043130273. The next prime is 114043130309. The reversal of 114043130304 is 403031340411.

114043130304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114043130309) 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, 213687 + ... + 523209.

Almost surely, 2114043130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114043130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160382955840).

114043130304 is an abundant number, since it is smaller than the sum of its proper divisors (206722781376).

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

114043130304 is a wasteful number, since it uses less digits than its factorization.

114043130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309658 (or 309648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114043130304 its reverse (403031340411), we get a palindrome (517074470715).

The spelling of 114043130304 in words is "one hundred fourteen billion, forty-three million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 101 114 152 192 202 228 303 304 404 456 606 608 808 912 1212 1216 1616 1824 1919 2424 3232 3648 3838 4848 5757 6464 7676 9696 11514 15352 19392 23028 30704 46056 61408 92112 122816 184224 309523 368448 619046 928569 1238092 1857138 2476184 3714276 4952368 5880937 7428552 9904736 11761874 14857104 17642811 19809472 23523748 29714208 31261823 35285622 47047496 59428416 62523646 70571244 93785469 94094992 125047292 141142488 187570938 188189984 250094584 282284976 375141876 376379968 500189168 564569952 593974637 750283752 1000378336 1129139904 1187949274 1500567504 1781923911 2000756672 2375898548 3001135008 3563847822 4751797096 6002270016 7127695644 9503594192 14255391288 19007188384 28510782576 38014376768 57021565152 114043130304