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4400025331240 = 23571110114144353
BaseRepresentation
bin100000000000111010111…
…1100100110011000101000
3120120122020022221000212001
41000001311330212120220
51034042222441044430
613205202125100344
7632614505136130
oct100016574463050
916518208830761
104400025331240
111447049655780
125b09076b76b4
1325bbc7765976
14112d68a17ac0
15796c4c093ca
hex40075f26628

4400025331240 has 128 divisors (see below), whose sum is σ = 12465136293120. Its totient is φ = 1357857792000.

The previous prime is 4400025331111. The next prime is 4400025331241. The reversal of 4400025331240 is 421335200044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4400025331199 and 4400025331208.

It is not an unprimeable number, because it can be changed into a prime (4400025331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6761097 + ... + 7383256.

It is an arithmetic number, because the mean of its divisors is an integer number (97383877290).

Almost surely, 24400025331240 is an apocalyptic number.

4400025331240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400025331240 is an abundant number, since it is smaller than the sum of its proper divisors (8065110961880).

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

4400025331240 is a wasteful number, since it uses less digits than its factorization.

4400025331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144483 (or 14144479 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 4400025331240 in words is "four trillion, four hundred billion, twenty-five million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 14140 15554 22220 28280 31108 38885 44440 62216 77770 155540 311080 14144353 28288706 56577412 70721765 99010471 113154824 141443530 155587883 198020942 282887060 311175766 396041884 495052355 565774120 622351532 777939415 792083768 990104710 1089115181 1244703064 1428579653 1555878830 1980209420 2178230362 2857159306 3111757660 3960418840 4356460724 5445575905 5714318612 6223515320 7142898265 8712921448 10000057571 10891151810 11428637224 14285796530 15714376183 20000115142 21782303620 28571593060 31428752366 40000230284 43564607240 50000287855 57143186120 62857504732 78571880915 80000460568 100000575710 110000633281 125715009464 157143761830 200001151420 220001266562 314287523660 400002302840 440002533124 550003166405 628575047320 880005066248 1100006332810 2200012665620 4400025331240