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1054331112040 = 235191399991621
BaseRepresentation
bin11110101011110110000…
…10000000101001101000
310201210102010222212212221
433111323002000221220
5114233232231041130
62124204130443424
7136113210404413
oct17257302005150
93653363885787
101054331112040
11377159476588
12150405433574
137856642bc4b
143905c07cb7a
151c65b48887a
hexf57b080a68

1054331112040 has 64 divisors (see below), whose sum is σ = 2498887440000. Its totient is φ = 399250010880.

The previous prime is 1054331112017. The next prime is 1054331112049. The reversal of 1054331112040 is 402111334501.

It is a super-2 number, since 2×10543311120402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054331111996 and 1054331112014.

It is not an unprimeable number, because it can be changed into a prime (1054331112049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567430 + ... + 1559050.

It is an arithmetic number, because the mean of its divisors is an integer number (39045116250).

Almost surely, 21054331112040 is an apocalyptic number.

1054331112040 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 1054331112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249443720000).

1054331112040 is an abundant number, since it is smaller than the sum of its proper divisors (1444556327960).

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

1054331112040 is a wasteful number, since it uses less digits than its factorization.

1054331112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993050 (or 993046 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1054331112040 its reverse (402111334501), we get a palindrome (1456442446541).

The spelling of 1054331112040 in words is "one trillion, fifty-four billion, three hundred thirty-one million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1399 2798 5596 6995 11192 13990 26581 27980 53162 55960 106324 132905 212648 265810 531620 991621 1063240 1983242 3966484 4958105 7932968 9916210 18840799 19832420 37681598 39664840 75363196 94203995 150726392 188407990 376815980 753631960 1387277779 2774555558 5549111116 6936388895 11098222232 13872777790 26358277801 27745555580 52716555602 55491111160 105433111204 131791389005 210866222408 263582778010 527165556020 1054331112040