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1023432030040 = 2357217139220973
BaseRepresentation
bin11101110010010010100…
…11010111011101011000
310121211122201220212212111
432321021103113131120
5113231442044430130
62102054100122104
7133640412502300
oct16711123273530
93554581825774
101023432030040
11365042777982
12146421396334
1375680a02284
143776a476600
151b94d96502a
hexee494d7758

1023432030040 has 192 divisors, whose sum is σ = 2856663482400. Its totient is φ = 327872950272.

The previous prime is 1023432030001. The next prime is 1023432030067. The reversal of 1023432030040 is 400302343201.

It is a happy number.

It is a super-2 number, since 2×10234320300402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023432029993 and 1023432030020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4520994 + ... + 4741966.

Almost surely, 21023432030040 is an apocalyptic number.

1023432030040 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 1023432030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428331741200).

1023432030040 is an abundant number, since it is smaller than the sum of its proper divisors (1833231452360).

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

1023432030040 is a wasteful number, since it uses less digits than its factorization.

1023432030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221154 (or 221143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1023432030040 its reverse (400302343201), we get a palindrome (1423734373241).

The spelling of 1023432030040 in words is "one trillion, twenty-three billion, four hundred thirty-two million, thirty thousand, forty".