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1140221442132 = 223243929792871
BaseRepresentation
bin10000100101111010011…
…111100111100001010100
311001000002222210201201200
4100211322133213201110
5122140133142122012
62231451022352500
7145243515226143
oct20457237474124
94030088721650
101140221442132
113aa624307863
12164b95a2b730
13836a39b1786
143d28923975a
151e9d6b2a3dc
hex1097a7e7854

1140221442132 has 72 divisors (see below), whose sum is σ = 2952433323840. Its totient is φ = 370834813440.

The previous prime is 1140221442097. The next prime is 1140221442137. The reversal of 1140221442132 is 2312441220411.

1140221442132 is a `hidden beast` number, since 1 + 1 + 402 + 2 + 1 + 44 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1140221442096 and 1140221442105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140221442137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041657 + ... + 1834527.

Almost surely, 21140221442132 is an apocalyptic number.

1140221442132 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 1140221442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476216661920).

1140221442132 is an abundant number, since it is smaller than the sum of its proper divisors (1812211881708).

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

1140221442132 is a wasteful number, since it uses less digits than its factorization.

1140221442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793853 (or 793848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1140221442132 its reverse (2312441220411), we get a palindrome (3452662662543).

The spelling of 1140221442132 in words is "one trillion, one hundred forty billion, two hundred twenty-one million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 929 1548 1858 2787 3716 5574 8361 11148 16722 33444 39947 79894 119841 159788 239682 359523 479364 719046 792871 1438092 1585742 2378613 3171484 4757226 7135839 9514452 14271678 28543356 34093453 68186906 102280359 136373812 204560718 306841077 409121436 613682154 736577159 1227364308 1473154318 2209731477 2946308636 4419462954 6629194431 8838925908 13258388862 26516777724 31672817837 63345635674 95018453511 126691271348 190036907022 285055360533 380073814044 570110721066 1140221442132