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1142581982652 = 22321110867265511
BaseRepresentation
bin10000101000000111001…
…100010111010110111100
311001020012111120121120100
4100220013030113112330
5122210001441421102
62232521145121100
7145356150415365
oct20500714272674
94036174517510
101142581982652
114006258188a0
12165534489190
138398ba62906
143d430946b6c
151eac3ea9a1c
hex10a073175bc

1142581982652 has 72 divisors (see below), whose sum is σ = 3151058182272. Its totient is φ = 346203799200.

The previous prime is 1142581982629. The next prime is 1142581982653. The reversal of 1142581982652 is 2562891852411.

It is a happy number.

1142581982652 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 581 + 9 + 8 + 2 + 6 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142581982653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4170577 + ... + 4436087.

It is an arithmetic number, because the mean of its divisors is an integer number (43764696976).

Almost surely, 21142581982652 is an apocalyptic number.

1142581982652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142581982652 is an abundant number, since it is smaller than the sum of its proper divisors (2008476199620).

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

1142581982652 is a wasteful number, since it uses less digits than its factorization.

1142581982652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276399 (or 276394 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 1142581982652 in words is "one trillion, one hundred forty-two billion, five hundred eighty-one million, nine hundred eighty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10867 21734 32601 43468 65202 97803 119537 130404 195606 239074 265511 358611 391212 478148 531022 717222 796533 1062044 1075833 1434444 1593066 2151666 2389599 2920621 3186132 4303332 4779198 5841242 8761863 9558396 11682484 17523726 26285589 35047452 52571178 105142356 2885308037 5770616074 8655924111 11541232148 17311848222 25967772333 31738388407 34623696444 51935544666 63476776814 95215165221 103871089332 126953553628 190430330442 285645495663 380860660884 571290991326 1142581982652