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2144022200040 = 2335721311197751
BaseRepresentation
bin11111001100110001101…
…011100111111011101000
321120222002121000122220010
4133030301223213323220
5240111424140400130
64320541124331520
7310620604002060
oct37146153477350
97528077018803
102144022200040
11757302701396
122a7638843ba0
1312724651b696
1475ab23703a0
153ab86dac0b0
hex1f331ae7ee8

2144022200040 has 128 divisors (see below), whose sum is σ = 7354388920320. Its totient is φ = 489831840000.

The previous prime is 2144022200027. The next prime is 2144022200051. The reversal of 2144022200040 is 400022204412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1191165 + ... + 2388915.

It is an arithmetic number, because the mean of its divisors is an integer number (57456163440).

Almost surely, 22144022200040 is an apocalyptic number.

2144022200040 is a gapful number since it is divisible by the number (20) 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 2144022200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677194460160).

2144022200040 is an abundant number, since it is smaller than the sum of its proper divisors (5210366720280).

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

2144022200040 is a wasteful number, since it uses less digits than its factorization.

2144022200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199903 (or 1199899 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 2144022200040 its reverse (400022204412), we get a palindrome (2544044404452).

The spelling of 2144022200040 in words is "two trillion, one hundred forty-four billion, twenty-two million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2131 4262 6393 8524 10655 12786 14917 17048 21310 25572 29834 31965 42620 44751 51144 59668 63930 74585 85240 89502 119336 127860 149170 179004 223755 255720 298340 358008 447510 596680 895020 1197751 1790040 2395502 3593253 4791004 5988755 7186506 8384257 9582008 11977510 14373012 16768514 17966265 23955020 25152771 28746024 33537028 35932530 41921285 47910040 50305542 67074056 71865060 83842570 100611084 125763855 143730120 167685140 201222168 251527710 335370280 503055420 1006110840 2552407381 5104814762 7657222143 10209629524 12762036905 15314444286 17866851667 20419259048 25524073810 30628888572 35733703334 38286110715 51048147620 53600555001 61257777144 71467406668 76572221430 89334258335 102096295240 107201110002 142934813336 153144442860 178668516670 214402220004 268002775005 306288885720 357337033340 428804440008 536005550010 714674066680 1072011100020 2144022200040