Search a number
-
+
14202411312 = 24323107251479
BaseRepresentation
bin11010011101000011…
…11001100100110000
31100122210100020200210
431032201321210300
5213041304130222
610305142544120
71011643334655
oct151641714460
940583306623
1014202411312
116028988911
122904438040
13145452b89b
1498a325c2c
15581cb6d0c
hex34e879930

14202411312 has 160 divisors (see below), whose sum is σ = 38877511680. Its totient is φ = 4458784000.

The previous prime is 14202411277. The next prime is 14202411313. The reversal of 14202411312 is 21311420241.

It is a super-2 number, since 2×142024113122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14202411313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29649889 + ... + 29650367.

It is an arithmetic number, because the mean of its divisors is an integer number (242984448).

Almost surely, 214202411312 is an apocalyptic number.

14202411312 is a gapful number since it is divisible by the number (12) 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 14202411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438755840).

14202411312 is an abundant number, since it is smaller than the sum of its proper divisors (24675100368).

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

14202411312 is a wasteful number, since it uses less digits than its factorization.

14202411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

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

Adding to 14202411312 its reverse (21311420241), we get a palindrome (35513831553).

The spelling of 14202411312 in words is "fourteen billion, two hundred two million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 251 276 321 368 428 479 502 552 642 753 856 958 1004 1104 1284 1437 1506 1712 1916 2008 2461 2568 2874 3012 3832 4016 4922 5136 5748 5773 6024 7383 7664 9844 11017 11496 11546 12048 14766 17319 19688 22034 22992 23092 26857 29532 33051 34638 39376 44068 46184 51253 53714 59064 66102 69276 80571 88136 92368 102506 107428 118128 120229 132204 138552 153759 161142 176272 205012 214856 240458 264408 277104 307518 322284 360687 410024 429712 480916 528816 615036 617711 644568 721374 820048 961832 1178819 1230072 1235422 1289136 1442748 1853133 1923664 2357638 2460144 2470844 2765267 2885496 3536457 3706266 4715276 4941688 5530534 5770992 7072914 7412532 8295801 9430552 9883376 11061068 12864503 14145828 14825064 16591602 18861104 22122136 25729006 28291656 29650128 33183204 38593509 44244272 51458012 56583312 66366408 77187018 102916024 132732816 154374036 205832048 295883569 308748072 591767138 617496144 887650707 1183534276 1775301414 2367068552 3550602828 4734137104 7101205656 14202411312