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141271023090 = 235431671813623
BaseRepresentation
bin1000001110010001101…
…0001011110111110010
3111111122102100112122110
42003210122023313302
54303310340214330
6144522104150150
713130553611661
oct2034432136762
9444572315573
10141271023090
1154a0489a64a
1223467468356
1310424cc2872
146ba2368dd8
153a1c5dadb0
hex20e468bdf2

141271023090 has 128 divisors (see below), whose sum is σ = 351037919232. Its totient is φ = 36363720960.

The previous prime is 141271023079. The next prime is 141271023097. The reversal of 141271023090 is 90320172141.

141271023090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (141271023097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38991019 + ... + 38994641.

It is an arithmetic number, because the mean of its divisors is an integer number (2742483744).

Almost surely, 2141271023090 is an apocalyptic number.

141271023090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141271023090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175518959616).

141271023090 is an abundant number, since it is smaller than the sum of its proper divisors (209766896142).

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

141271023090 is a wasteful number, since it uses less digits than its factorization.

141271023090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024.

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 141271023090 in words is "one hundred forty-one billion, two hundred seventy-one million, twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 167 181 215 258 334 362 430 501 543 645 835 905 1002 1086 1290 1670 1810 2505 2715 3623 5010 5430 7181 7246 7783 10869 14362 15566 18115 21543 21738 23349 30227 35905 36230 38915 43086 46698 54345 60454 71810 77830 90681 107715 108690 116745 151135 155789 181362 215430 233490 302270 311578 453405 467367 605041 655763 778945 906810 934734 1210082 1299761 1311526 1557890 1815123 1967289 2336835 2599522 3025205 3278815 3630246 3899283 3934578 4673670 6050410 6498805 6557630 7798566 9075615 9836445 12997610 18151230 19496415 19672890 26016763 28197809 38992830 52033526 56395618 78050289 84593427 109512421 130083815 140989045 156100578 169186854 219024842 260167630 281978090 328537263 390251445 422967135 547562105 657074526 780502890 845934270 1095124210 1642686315 3285372630 4709034103 9418068206 14127102309 23545170515 28254204618 47090341030 70635511545 141271023090