Search a number
-
+
14412331400 = 23521715592719
BaseRepresentation
bin11010110110000101…
…01011100110001000
31101012102100021220212
431123002223212020
5214004024101100
610342042140252
71020102536615
oct153302534610
941172307825
1014412331400
116126426995
1229627b1688
131488b7a25c
149aa16b50c
15595430635
hex35b0ab988

14412331400 has 96 divisors (see below), whose sum is σ = 35515584000. Its totient is φ = 5420344320.

The previous prime is 14412331387. The next prime is 14412331433. The reversal of 14412331400 is 413321441.

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, 5299241 + ... + 5301959.

It is an arithmetic number, because the mean of its divisors is an integer number (369954000).

Almost surely, 214412331400 is an apocalyptic number.

14412331400 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 14412331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792000).

14412331400 is an abundant number, since it is smaller than the sum of its proper divisors (21103252600).

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

14412331400 is a wasteful number, since it uses less digits than its factorization.

14412331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14412331400 its reverse (413321441), we get a palindrome (14825652841).

The spelling of 14412331400 in words is "fourteen billion, four hundred twelve million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1559 1700 2719 3118 3400 5438 6236 7795 10876 12472 13595 15590 21752 26503 27190 31180 38975 46223 53006 54380 62360 67975 77950 92446 106012 108760 132515 135950 155900 184892 212024 231115 265030 271900 311800 369784 462230 530060 543800 662575 924460 1060120 1155575 1325150 1848920 2311150 2650300 4238921 4622300 5300600 8477842 9244600 16955684 21194605 33911368 42389210 72061657 84778420 105973025 144123314 169556840 211946050 288246628 360308285 423892100 576493256 720616570 847784200 1441233140 1801541425 2882466280 3603082850 7206165700 14412331400