Search a number
-
+
14323220031420 = 22325353823273901
BaseRepresentation
bin1101000001101110001001…
…1100010010011110111100
31212201021201211102210110100
43100123202130102132330
53334132423312001140
650243555122041100
73005550513316506
oct320334234223674
955637654383410
1014323220031420
1146224973361a3
121733b294a9190
137cb89b5c0801
143773673b6d76
1519c8a6d81530
hexd06e27127bc

14323220031420 has 144 divisors (see below), whose sum is σ = 43623280314432. Its totient is φ = 3804063436800.

The previous prime is 14323220031361. The next prime is 14323220031433. The reversal of 14323220031420 is 2413002232341.

14323220031420 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 3 + 2 + 200 + 31 + 420 = 666.

14323220031420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143232200314202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52156470 + ... + 52430370.

It is an arithmetic number, because the mean of its divisors is an integer number (302939446628).

Almost surely, 214323220031420 is an apocalyptic number.

14323220031420 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 14323220031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21811640157216).

14323220031420 is an abundant number, since it is smaller than the sum of its proper divisors (29300060283012).

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

14323220031420 is a wasteful number, since it uses less digits than its factorization.

14323220031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275092 (or 275087 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14323220031420 its reverse (2413002232341), we get a palindrome (16736222263761).

The spelling of 14323220031420 in words is "fourteen trillion, three hundred twenty-three billion, two hundred twenty million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 823 1059 1412 1646 1765 2118 2469 3177 3292 3530 4115 4236 4938 5295 6354 7060 7407 8230 9876 10590 12345 12708 14814 15885 16460 21180 24690 29628 31770 37035 49380 63540 74070 148140 273901 290519 547802 581038 821703 871557 1095604 1162076 1369505 1452595 1643406 1743114 2465109 2614671 2739010 2905190 3286812 3486228 4108515 4357785 4930218 5229342 5478020 5810380 8217030 8715570 9860436 10458684 12325545 13073355 16434060 17431140 24651090 26146710 49302180 52293420 96687053 193374106 225420523 290061159 386748212 450841046 483435265 580122318 676261569 870183477 901682092 966870530 1127102615 1160244636 1352523138 1450305795 1740366954 1933741060 2028784707 2254205230 2705046276 2900611590 3381307845 3480733908 4057569414 4350917385 4508410460 5801223180 6762615690 8115138828 8701834770 10143923535 13525231380 17403669540 20287847070 40575694140 79573444619 159146889238 238720333857 318293778476 397867223095 477440667714 716161001571 795734446190 954881335428 1193601669285 1432322003142 1591468892380 2387203338570 2864644006284 3580805007855 4774406677140 7161610015710 14323220031420