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141413333120 = 2751712997549
BaseRepresentation
bin1000001110110011100…
…1000011100010000000
3111112000100010122022022
42003230321003202000
54304103303124440
6144544150301012
713134232333013
oct2035471034200
9445010118268
10141413333120
1154a7815a244
12234a7057768
131044862b497
146bb721137a
153a29d4bcb5
hex20ece43880

141413333120 has 64 divisors (see below), whose sum is σ = 357952527000. Its totient is φ = 53237956608.

The previous prime is 141413333107. The next prime is 141413333189. The reversal of 141413333120 is 21333314141.

It can be written as a sum of positive squares in 4 ways, for example, as 112128540736 + 29284792384 = 334856^2 + 171128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 141413333120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6487895 + ... + 6509654.

Almost surely, 2141413333120 is an apocalyptic number.

141413333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141413333120 is an abundant number, since it is smaller than the sum of its proper divisors (216539193880).

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

141413333120 is a wasteful number, since it uses less digits than its factorization.

141413333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997585 (or 12997573 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 141413333120 its reverse (21333314141), we get a palindrome (162746647261).

The spelling of 141413333120 in words is "one hundred forty-one billion, four hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 12997549 25995098 51990196 64987745 103980392 129975490 207960784 220958333 259950980 415921568 441916666 519901960 831843136 883833332 1039803920 1104791665 1663686272 1767666664 2079607840 2209583330 3535333328 4159215680 4419166660 7070666656 8318431360 8838333320 14141333312 17676666640 28282666624 35353333280 70706666560 141413333120