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141210031001340 = 223572778737138923
BaseRepresentation
bin100000000110111000000101…
…101111001000111011111100
3200111222112202212001022112210
4200012320011233020323330
5122002041120414020330
61220154554230500420
741513042131063020
oct4006700557107374
9614875685038483
10141210031001340
1140aa2924187094
1213a07549804710
1360a408324b552
1426c285db28380
15114d2e4b5a8b0
hex806e05bc8efc

141210031001340 has 192 divisors, whose sum is σ = 453558577296384. Its totient is φ = 32156144197632.

The previous prime is 141210031001251. The next prime is 141210031001359. The reversal of 141210031001340 is 43100130012141.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 1016393119 + ... + 1016532041.

It is an arithmetic number, because the mean of its divisors is an integer number (2362284256752).

Almost surely, 2141210031001340 is an apocalyptic number.

141210031001340 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 141210031001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226779288648192).

141210031001340 is an abundant number, since it is smaller than the sum of its proper divisors (312348546295044).

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

141210031001340 is a wasteful number, since it uses less digits than its factorization.

141210031001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147956 (or 147954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 141210031001340 its reverse (43100130012141), we get a palindrome (184310161013481).

The spelling of 141210031001340 in words is "one hundred forty-one trillion, two hundred ten billion, thirty-one million, one thousand, three hundred forty".