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141306012 = 22336189241
BaseRepresentation
bin10000110110000…
…10100010011100
3100211220002102000
420123002202130
5242133243022
622004402300
73334036611
oct1033024234
9324802360
10141306012
1172844331
123b3a6390
1323376933
1414aa4508
15c6136ac
hex86c289c

141306012 has 96 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 45619200.

The previous prime is 141305999. The next prime is 141306013. The reversal of 141306012 is 210603141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141306013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586212 + ... + 586452.

It is an arithmetic number, because the mean of its divisors is an integer number (3938550).

Almost surely, 2141306012 is an apocalyptic number.

141306012 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 141306012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

141306012 is an abundant number, since it is smaller than the sum of its proper divisors (236794788).

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

141306012 is a wasteful number, since it uses less digits than its factorization.

141306012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 141306012 is about 11887.2205329926. The cubic root of 141306012 is about 520.8590484982.

Adding to 141306012 its reverse (210603141), we get a palindrome (351909153).

It can be divided in two parts, 141 and 306012, that added together give a triangular number (306153 = T782).

The spelling of 141306012 in words is "one hundred forty-one million, three hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 89 108 122 178 183 241 244 267 356 366 482 534 549 723 732 801 964 1068 1098 1446 1602 1647 2169 2196 2403 2892 3204 3294 4338 4806 5429 6507 6588 8676 9612 10858 13014 14701 16287 21449 21716 26028 29402 32574 42898 44103 48861 58804 64347 65148 85796 88206 97722 128694 132309 146583 176412 193041 195444 257388 264618 293166 386082 396927 529236 579123 586332 772164 793854 1158246 1308389 1587708 2316492 2616778 3925167 5233556 7850334 11775501 15700668 23551002 35326503 47102004 70653006 141306012