Search a number
-
+
14211342120 = 23352329177553
BaseRepresentation
bin11010011110000111…
…11101111100101000
31100200102010222110110
431033003331330220
5213101100421440
610310102214320
71012112262213
oct151703757450
940612128413
1014211342120
116032a28748
1229074243a0
1314563378a1
1498b5ac77a
1558297d080
hex34f0fdf28

14211342120 has 128 divisors (see below), whose sum is σ = 46021996800. Its totient is φ = 3499905024.

The previous prime is 14211342113. The next prime is 14211342139. The reversal of 14211342120 is 2124311241.

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, 8737 + ... + 168816.

It is an arithmetic number, because the mean of its divisors is an integer number (359546850).

Almost surely, 214211342120 is an apocalyptic number.

14211342120 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 14211342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010998400).

14211342120 is an abundant number, since it is smaller than the sum of its proper divisors (31810654680).

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

14211342120 is a wasteful number, since it uses less digits than its factorization.

14211342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177619 (or 177615 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14211342120 its reverse (2124311241), we get a palindrome (16335653361).

The spelling of 14211342120 in words is "fourteen billion, two hundred eleven million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 40020 80040 177553 355106 532659 710212 887765 1065318 1420424 1775530 2130636 2663295 3551060 4083719 4261272 5149037 5326590 7102120 8167438 10298074 10653180 12251157 15447111 16334876 20418595 20596148 21306360 24502314 25745185 30894222 32669752 40837190 41192296 49004628 51490370 61255785 61788444 77235555 81674380 98009256 102980740 118427851 122511570 123576888 154471110 163348760 205961480 236855702 245023140 308942220 355283553 473711404 490046280 592139255 617884440 710567106 947422808 1184278510 1421134212 1776417765 2368557020 2842268424 3552835530 4737114040 7105671060 14211342120