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141348012 = 22313979341
BaseRepresentation
bin10000110110011…
…00110010101100
3100211222020000120
420123030302230
5242141114022
622005324540
73334303221
oct1033146254
9324866016
10141348012
1172872943
123b406750
132338caa0
1414ab5948
15c620d5c
hex86cccac

141348012 has 48 divisors (see below), whose sum is σ = 358882272. Its totient is φ = 43038720.

The previous prime is 141347981. The next prime is 141348017. The reversal of 141348012 is 210843141.

It is not an unprimeable number, because it can be changed into a prime (141348017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10462 + ... + 19802.

It is an arithmetic number, because the mean of its divisors is an integer number (7476714).

Almost surely, 2141348012 is an apocalyptic number.

141348012 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 141348012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179441136).

141348012 is an abundant number, since it is smaller than the sum of its proper divisors (217534260).

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

141348012 is a wasteful number, since it uses less digits than its factorization.

141348012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141348012 is about 11888.9870047872. The cubic root of 141348012 is about 520.9106478904.

The spelling of 141348012 in words is "one hundred forty-one million, three hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 5044 7566 9341 15132 18682 28023 37364 56046 112092 121433 242866 364299 485732 728598 906077 1457196 1812154 2718231 3624308 5436462 10872924 11779001 23558002 35337003 47116004 70674006 141348012