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1022313442040 = 235114575084113
BaseRepresentation
bin11101110000001101010…
…00010010101011111000
310121201202210002201121022
432320012220102223320
5113222144220121130
62101351101002012
7133600610610632
oct16700650225370
93551683081538
101022313442040
11364619317190
1214616a853308
1375533043a97
14376a1a99a52
151b8d565b7e5
hexee06a12af8

1022313442040 has 64 divisors (see below), whose sum is σ = 2514806148960. Its totient is φ = 370936811520.

The previous prime is 1022313442021. The next prime is 1022313442049. The reversal of 1022313442040 is 402443132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022313442049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2340977 + ... + 2743136.

Almost surely, 21022313442040 is an apocalyptic number.

1022313442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022313442040 is an abundant number, since it is smaller than the sum of its proper divisors (1492492706920).

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

1022313442040 is a wasteful number, since it uses less digits than its factorization.

1022313442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084592 (or 5084588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1022313442040 its reverse (402443132201), we get a palindrome (1424756574241).

The spelling of 1022313442040 in words is "one trillion, twenty-two billion, three hundred thirteen million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 457 914 1828 2285 3656 4570 5027 9140 10054 18280 20108 25135 40216 50270 100540 201080 5084113 10168226 20336452 25420565 40672904 50841130 55925243 101682260 111850486 203364520 223700972 279626215 447401944 559252430 1118504860 2237009720 2323439641 4646879282 9293758564 11617198205 18587517128 23234396410 25557836051 46468792820 51115672102 92937585640 102231344204 127789180255 204462688408 255578360510 511156721020 1022313442040