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1042022340432 = 243371791992161
BaseRepresentation
bin11110010100111010101…
…11110001011101010000
310200121122022212111112000
433022131113301131100
5114033030204343212
62114410511034000
7135166166516043
oct17123527613520
93617568774460
101042022340432
11371a1249a267
12149b4b20b900
1377354317c38
1438611446c5a
151c18aa751dc
hexf29d5f1750

1042022340432 has 320 divisors, whose sum is σ = 3088373760000. Its totient is φ = 336259123200.

The previous prime is 1042022340431. The next prime is 1042022340439. The reversal of 1042022340432 is 2340432202401.

1042022340432 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 223 + 4 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1042022340396 and 1042022340405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042022340431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482193432 + ... + 482195592.

It is an arithmetic number, because the mean of its divisors is an integer number (9651168000).

Almost surely, 21042022340432 is an apocalyptic number.

1042022340432 is a gapful number since it is divisible by the number (12) 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 1042022340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544186880000).

1042022340432 is an abundant number, since it is smaller than the sum of its proper divisors (2046351419568).

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

1042022340432 is a wasteful number, since it uses less digits than its factorization.

1042022340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1042022340432 its reverse (2340432202401), we get a palindrome (3382454542833).

The spelling of 1042022340432 in words is "one trillion, forty-two billion, twenty-two million, three hundred forty thousand, four hundred thirty-two".