Search a number
-
+
141434377128 = 233311113526781
BaseRepresentation
bin1000001110111000100…
…1010101001110101000
3111112001210201210021000
42003232021111032220
54304124200032003
6144550221315000
713134606240552
oct2035611251650
9445053653230
10141434377128
1154a89022990
12234b2105a60
131044cab8b65
146bb9d2c4d2
153a2bb071a3
hex20ee2553a8

141434377128 has 128 divisors (see below), whose sum is σ = 432382665600. Its totient is φ = 42479539200.

The previous prime is 141434377079. The next prime is 141434377141. The reversal of 141434377128 is 821773434141.

141434377128 is a `hidden beast` number, since 1 + 4 + 143 + 437 + 71 + 2 + 8 = 666.

141434377128 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5098 + ... + 531878.

It is an arithmetic number, because the mean of its divisors is an integer number (3377989575).

Almost surely, 2141434377128 is an apocalyptic number.

141434377128 is a gapful number since it is divisible by the number (18) 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 141434377128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216191332800).

141434377128 is an abundant number, since it is smaller than the sum of its proper divisors (290948288472).

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

141434377128 is a wasteful number, since it uses less digits than its factorization.

141434377128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526920 (or 526910 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 141434377128 in words is "one hundred forty-one billion, four hundred thirty-four million, three hundred seventy-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 113 132 198 216 226 264 297 339 396 452 594 678 792 904 1017 1188 1243 1356 2034 2376 2486 2712 3051 3729 4068 4972 6102 7458 8136 9944 11187 12204 14916 22374 24408 29832 33561 44748 67122 89496 134244 268488 526781 1053562 1580343 2107124 3160686 4214248 4741029 5794591 6321372 9482058 11589182 12642744 14223087 17383773 18964116 23178364 28446174 34767546 37928232 46356728 52151319 56892348 59526253 69535092 104302638 113784696 119052506 139070184 156453957 178578759 208605276 238105012 312907914 357157518 417210552 476210024 535736277 625815828 654788783 714315036 1071472554 1251631656 1309577566 1428630072 1607208831 1964366349 2142945108 2619155132 3214417662 3928732698 4285890216 5238310264 5893099047 6428835324 7857465396 11786198094 12857670648 15714930792 17679297141 23572396188 35358594282 47144792376 70717188564 141434377128