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1204420442320 = 245151631158009
BaseRepresentation
bin10001100001101101000…
…011010111100011010000
311021010211010112211212101
4101201231003113203100
5124213123113123240
62321145250010144
7153005442561664
oct21415503274320
94233733484771
101204420442320
11424878a38907
12175511b76954
1389765357554
14424196448a4
15214e2d1139a
hex1186d0d78d0

1204420442320 has 80 divisors (see below), whose sum is σ = 2823307511040. Its totient is φ = 477816192000.

The previous prime is 1204420442311. The next prime is 1204420442333. The reversal of 1204420442320 is 232440244021.

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

It is a congruent number.

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, 7543476 + ... + 7701484.

It is an arithmetic number, because the mean of its divisors is an integer number (35291343888).

Almost surely, 21204420442320 is an apocalyptic number.

1204420442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204420442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411653755520).

1204420442320 is an abundant number, since it is smaller than the sum of its proper divisors (1618887068720).

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

1204420442320 is a wasteful number, since it uses less digits than its factorization.

1204420442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158804 (or 158798 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1204420442320 its reverse (232440244021), we get a palindrome (1436860686341).

The spelling of 1204420442320 in words is "one trillion, two hundred four billion, four hundred twenty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 631 755 1208 1262 1510 2416 2524 3020 3155 5048 6040 6310 10096 12080 12620 25240 50480 95281 158009 190562 316018 381124 476405 632036 762248 790045 952810 1264072 1524496 1580090 1905620 2528144 3160180 3811240 6320360 7622480 12640720 23859359 47718718 95437436 99703679 119296795 190874872 199407358 238593590 381749744 398814716 477187180 498518395 797629432 954374360 997036790 1595258864 1908748720 1994073580 3988147160 7976294320 15055255529 30110511058 60221022116 75276277645 120442044232 150552555290 240884088464 301105110580 602210221160 1204420442320