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2114224440040 = 235701588112821
BaseRepresentation
bin11110110001000001100…
…110001100001011101000
321111010011221021121122101
4132301001212030023220
5234114412424040130
64255132235103144
7305514311140156
oct36610146141350
97433157247571
102114224440040
11745701640259
122a19015a1ab4
131244a801632b
1474486b2c3d6
1539ee0dd11ca
hex1ec4198c2e8

2114224440040 has 64 divisors (see below), whose sum is σ = 4764972672720. Its totient is φ = 844273920000.

The previous prime is 2114224440017. The next prime is 2114224440103. The reversal of 2114224440040 is 400444224112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1142671205764 + 971553234276 = 1068958^2 + 985674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2114224439990 and 2114224440008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164896830 + ... + 164909650.

Almost surely, 22114224440040 is an apocalyptic number.

2114224440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114224440040 is an abundant number, since it is smaller than the sum of its proper divisors (2650748232680).

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

2114224440040 is a wasteful number, since it uses less digits than its factorization.

2114224440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19414 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2114224440040 its reverse (400444224112), we get a palindrome (2514668664152).

The spelling of 2114224440040 in words is "two trillion, one hundred fourteen billion, two hundred twenty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 701 1402 2804 3505 5608 5881 7010 11762 12821 14020 23524 25642 28040 29405 47048 51284 58810 64105 102568 117620 128210 235240 256420 512840 4122581 8245162 8987521 16490324 17975042 20612905 32980648 35950084 41225810 44937605 71900168 75400301 82451620 89875210 150800602 164903240 179750420 301601204 359500840 377001505 603202408 754003010 1508006020 3016012040 52855611001 105711222002 211422444004 264278055005 422844888008 528556110010 1057112220020 2114224440040