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141313021304 = 23713379512167
BaseRepresentation
bin1000001110011011101…
…0011001010101111000
3111111202100101021100212
42003212322121111320
54303402113140204
6144530204250252
713131603601520
oct2034672312570
9444670337325
10141313021304
1154a26575514
1223479540988
1310430908a90
146ba7b7c680
153a21134c6e
hex20e6e99578

141313021304 has 64 divisors (see below), whose sum is σ = 326968051200. Its totient is φ = 55756439424.

The previous prime is 141313021279. The next prime is 141313021387. The reversal of 141313021304 is 403120313141.

141313021304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141313021304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19829 + ... + 531995.

It is an arithmetic number, because the mean of its divisors is an integer number (5108875800).

Almost surely, 2141313021304 is an apocalyptic number.

141313021304 is a gapful number since it is divisible by the number (14) 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 141313021304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163484025600).

141313021304 is an abundant number, since it is smaller than the sum of its proper divisors (185655029896).

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

141313021304 is a wasteful number, since it uses less digits than its factorization.

141313021304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512572 (or 512568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 141313021304 its reverse (403120313141), we get a palindrome (544433334445).

The spelling of 141313021304 in words is "one hundred forty-one billion, three hundred thirteen million, twenty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 379 728 758 1516 2653 3032 4927 5306 9854 10612 19708 21224 34489 39416 68978 137956 275912 512167 1024334 2048668 3585169 4097336 6658171 7170338 13316342 14340676 26632684 28681352 46607197 53265368 93214394 186428788 194111293 372857576 388222586 776445172 1358779051 1552890344 2523446809 2717558102 5046893618 5435116204 10093787236 10870232408 17664127663 20187574472 35328255326 70656510652 141313021304