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1052024040240 = 24356761648341
BaseRepresentation
bin11110100111100011000…
…01001110101100110000
310201120110100211111100020
433103301201032230300
5114214021123241430
62123143154123440
7136002064540515
oct17236141165460
93646410744306
101052024040240
11376185165378
1214ba80880580
137828947bcc4
1438cbd8cd30c
151c573b6bb10
hexf4f184eb30

1052024040240 has 80 divisors (see below), whose sum is σ = 3261761921376. Its totient is φ = 280497817600.

The previous prime is 1052024040227. The next prime is 1052024040269. The reversal of 1052024040240 is 420404202501.

It is a happy number.

1052024040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10520240402402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1052024040240.

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, 1298470 + ... + 1946810.

Almost surely, 21052024040240 is an apocalyptic number.

1052024040240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052024040240 is an abundant number, since it is smaller than the sum of its proper divisors (2209737881136).

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

1052024040240 is a wasteful number, since it uses less digits than its factorization.

1052024040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655118 (or 655112 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 1052024040240 its reverse (420404202501), we get a palindrome (1472428242741).

The spelling of 1052024040240 in words is "one trillion, fifty-two billion, twenty-four million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6761 13522 20283 27044 33805 40566 54088 67610 81132 101415 108176 135220 162264 202830 270440 324528 405660 540880 648341 811320 1296682 1622640 1945023 2593364 3241705 3890046 5186728 6483410 7780092 9725115 10373456 12966820 15560184 19450230 25933640 31120368 38900460 51867280 77800920 155601840 4383433501 8766867002 13150300503 17533734004 21917167505 26300601006 35067468008 43834335010 52601202012 65751502515 70134936016 87668670020 105202404024 131503005030 175337340040 210404808048 263006010060 350674680080 526012020120 1052024040240