Search a number
-
+
4424051321040 = 2435132703152457
BaseRepresentation
bin100000001100000111000…
…0000011110100011010000
3120122221020202001202212010
41000120032000132203100
51034440424114233130
613224214153302520
7634425054523461
oct100301600364320
916587222052763
104424051321040
1114562586aa49a
125b54b1a04a40
13261256261890
141141a789ad68
157a12e1310b0
hex4060e01e8d0

4424051321040 has 160 divisors (see below), whose sum is σ = 14770353136896. Its totient is φ = 1088936202240.

The previous prime is 4424051321023. The next prime is 4424051321057. The reversal of 4424051321040 is 401231504244.

It is an interprime number because it is at equal distance from previous prime (4424051321023) and next prime (4424051321057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4424051320989 and 4424051321007.

It is a congruent number.

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, 84310492 + ... + 84362948.

Almost surely, 24424051321040 is an apocalyptic number.

4424051321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424051321040 is an abundant number, since it is smaller than the sum of its proper divisors (10346301815856).

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

4424051321040 is a wasteful number, since it uses less digits than its factorization.

4424051321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79517 (or 79511 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4424051321040 its reverse (401231504244), we get a palindrome (4825282825284).

The spelling of 4424051321040 in words is "four trillion, four hundred twenty-four billion, fifty-one million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 27031 52457 54062 81093 104914 108124 135155 157371 162186 209828 216248 262285 270310 314742 324372 351403 405465 419656 432496 524570 540620 629484 648744 681941 702806 786855 810930 839312 1049140 1054209 1081240 1258968 1297488 1363882 1405612 1573710 1621860 1757015 2045823 2098280 2108418 2162480 2517936 2727764 2811224 3147420 3243720 3409705 3514030 4091646 4196560 4216836 5271045 5455528 5622448 6294840 6487440 6819410 7028060 8183292 8433672 10229115 10542090 10911056 12589680 13638820 14056120 16366584 16867344 20458230 21084180 27277640 28112240 32733168 40916460 42168360 54555280 81832920 84336720 163665840 1417965167 2835930334 4253895501 5671860668 7089825835 8507791002 11343721336 14179651670 17015582004 18433547171 21269477505 22687442672 28359303340 34031164008 36867094342 42538955010 55300641513 56718606680 68062328016 73734188684 85077910020 92167735855 110601283026 113437213360 147468377368 170155820040 184335471710 221202566052 276503207565 294936754736 340311640080 368670943420 442405132104 553006415130 737341886840 884810264208 1106012830260 1474683773680 2212025660520 4424051321040