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40444400202440 = 2351377777692697
BaseRepresentation
bin10010011001000101100100…
…00110110111001011001000
312022012110001210022100210112
421030202302012313023020
520300120112422434230
6222003522334533452
711343003640326053
oct1114426206671310
9168173053270715
1040444400202440
1111983412592753
12465248b967288
131974b7678c530
149db73b3b7a9a
154a20b9575d95
hex24c8b21b72c8

40444400202440 has 32 divisors (see below), whose sum is σ = 97999892799480. Its totient is φ = 14933316997632.

The previous prime is 40444400202397. The next prime is 40444400202463. The reversal of 40444400202440 is 4420200444404.

It can be written as a sum of positive squares in 4 ways, for example, as 13341735137956 + 27102665064484 = 3652634^2 + 5206022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40444400202397 and 40444400202406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38888845829 + ... + 38888846868.

Almost surely, 240444400202440 is an apocalyptic number.

40444400202440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444400202440 is an abundant number, since it is smaller than the sum of its proper divisors (57555492597040).

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

40444400202440 is a wasteful number, since it uses less digits than its factorization.

40444400202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77777692721 (or 77777692717 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 40444400202440 its reverse (4420200444404), we get a palindrome (44864600646844).

The spelling of 40444400202440 in words is "forty trillion, four hundred forty-four billion, four hundred million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 77777692697 155555385394 311110770788 388888463485 622221541576 777776926970 1011110005061 1555553853940 2022220010122 3111107707880 4044440020244 5055550025305 8088880040488 10111100050610 20222200101220 40444400202440