Search a number
-
+
1432424204420 = 2251119937698681
BaseRepresentation
bin10100110110000011001…
…000101100100010000100
312001221100002212001010212
4110312003020230202010
5141432101044020140
63014014021534552
7205326543562166
oct24660310544204
95057302761125
101432424204420
11502540135a50
121b1743b74458
13a51002b0951
144d4889b4936
15273d99e1765
hex14d8322c884

1432424204420 has 96 divisors (see below), whose sum is σ = 3299298912000. Its totient is φ = 518066841600.

The previous prime is 1432424204413. The next prime is 1432424204483. The reversal of 1432424204420 is 244024242341.

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, 165002480 + ... + 165011160.

It is an arithmetic number, because the mean of its divisors is an integer number (34367697000).

Almost surely, 21432424204420 is an apocalyptic number.

1432424204420 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 1432424204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649649456000).

1432424204420 is an abundant number, since it is smaller than the sum of its proper divisors (1866874707580).

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

1432424204420 is a wasteful number, since it uses less digits than its factorization.

1432424204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 1432424204420 its reverse (244024242341), we get a palindrome (1676448446761).

The spelling of 1432424204420 in words is "one trillion, four hundred thirty-two billion, four hundred twenty-four million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3769 3980 4378 7538 8681 8756 10945 15076 17362 18845 21890 34724 37690 41459 43405 43780 75380 82918 86810 95491 165836 173620 190982 207295 381964 414590 477455 750031 829180 954910 1500062 1727519 1909820 3000124 3455038 3750155 6910076 7500310 8250341 8637595 15000620 16500682 17275190 19002709 32718689 33001364 34550380 38005418 41251705 65437378 76010836 82503410 95013545 130874756 163593445 165006820 190027090 327186890 359905579 380054180 654373780 719811158 1439622316 1799527895 3599055790 6511019111 7198111580 13022038222 26044076444 32555095555 65110191110 71621210221 130220382220 143242420442 286484840884 358106051105 716212102210 1432424204420