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1010042431452 = 22322311931022513
BaseRepresentation
bin11101011001010110011…
…10000110011111011100
310120120002121000210121200
432230223032012133130
5113022031330301302
62052001310355500
7132654536003565
oct16545316063734
93516077023550
101010042431452
1135a3a169131a
121439051bbb90
13743289c1482
1436c5a09316c
151b41820681c
hexeb2b3867dc

1010042431452 has 72 divisors (see below), whose sum is σ = 2666405667744. Its totient is φ = 321772256256.

The previous prime is 1010042431439. The next prime is 1010042431471. The reversal of 1010042431452 is 2541342400101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476548 + ... + 1499060.

It is an arithmetic number, because the mean of its divisors is an integer number (37033412052).

Almost surely, 21010042431452 is an apocalyptic number.

1010042431452 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 1010042431452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333202833872).

1010042431452 is an abundant number, since it is smaller than the sum of its proper divisors (1656363236292).

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

1010042431452 is a wasteful number, since it uses less digits than its factorization.

1010042431452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023739 (or 1023734 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1010042431452 its reverse (2541342400101), we get a palindrome (3551384831553).

The spelling of 1010042431452 in words is "one trillion, ten billion, forty-two million, four hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1193 2386 3579 4772 7158 10737 14316 21474 27439 42948 54878 82317 109756 164634 246951 329268 493902 987804 1022513 2045026 3067539 4090052 6135078 9202617 12270156 18405234 23517799 36810468 47035598 70553397 94071196 141106794 211660191 282213588 423320382 846640764 1219858009 2439716018 3659574027 4879432036 7319148054 10978722081 14638296108 21957444162 28056734207 43914888324 56113468414 84170202621 112226936828 168340405242 252510607863 336680810484 505021215726 1010042431452