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1042368938880 = 273531731271889
BaseRepresentation
bin11110010101100100000…
…01111100001110000000
310200122112111001112012120
433022302001330032000
5114034232422021010
62114505131524240
7135210605535123
oct17126201741600
93618474045176
101042368938880
11372080100865
1214a0272b9680
13773ab07ca89
14386454aa3ba
151c1ab1dae70
hexf2b207c380

1042368938880 has 512 divisors, whose sum is σ = 3505943347200. Its totient is φ = 263085096960.

The previous prime is 1042368938873. The next prime is 1042368938887. The reversal of 1042368938880 is 888398632401.

It is an interprime number because it is at equal distance from previous prime (1042368938873) and next prime (1042368938887).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042368938887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551808976 + ... + 551810864.

It is an arithmetic number, because the mean of its divisors is an integer number (6847545600).

Almost surely, 21042368938880 is an apocalyptic number.

1042368938880 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 1042368938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752971673600).

1042368938880 is an abundant number, since it is smaller than the sum of its proper divisors (2463574408320).

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

1042368938880 is a wasteful number, since it uses less digits than its factorization.

1042368938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 1042368938880 in words is "one trillion, forty-two billion, three hundred sixty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".