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1140195700352 = 27251213716607
BaseRepresentation
bin10000100101111000111…
…101011010111010000000
311001000001012100220122102
4100211320331122322000
5122140110044402402
62231444302525532
7145243053354212
oct20457075327200
94030035326572
101140195700352
113aa610825665
12164b892968a8
138369b56aa57
143d285a585b2
151e9d4743102
hex10978f5ae80

1140195700352 has 64 divisors (see below), whose sum is σ = 2281737911040. Its totient is φ = 567526656000.

The previous prime is 1140195700337. The next prime is 1140195700367. The reversal of 1140195700352 is 2530075910411.

It is an interprime number because it is at equal distance from previous prime (1140195700337) and next prime (1140195700367).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68649233 + ... + 68665839.

It is an arithmetic number, because the mean of its divisors is an integer number (35652154860).

Almost surely, 21140195700352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140195700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140868955520).

1140195700352 is an abundant number, since it is smaller than the sum of its proper divisors (1141542210688).

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

1140195700352 is a wasteful number, since it uses less digits than its factorization.

1140195700352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009 (or 18997 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 1140195700352 in words is "one trillion, one hundred forty billion, one hundred ninety-five million, seven hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 2137 4016 4274 8032 8548 16064 16607 17096 32128 33214 34192 66428 68384 132856 136768 265712 273536 531424 536387 1062848 1072774 2125696 2145548 4168357 4291096 8336714 8582192 16673428 17164384 33346856 34328768 35489159 66693712 68657536 70978318 133387424 141956636 266774848 283913272 533549696 567826544 1135653088 2271306176 4542612352 8907778909 17815557818 35631115636 71262231272 142524462544 285048925088 570097850176 1140195700352