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141101088 = 25317312789
BaseRepresentation
bin10000110100100…
…00100000100000
3100211111200022020
420122100200200
5242110213323
622000141440
73332224302
oct1032204040
9324450266
10141101088
1172714377
123b307880
132330458b
1414a4d972
15c5c2ae3
hex8690820

141101088 has 96 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 42823680.

The previous prime is 141101041. The next prime is 141101089. The reversal of 141101088 is 880101141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141101089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49198 + ... + 51986.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2141101088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

141101088 is an abundant number, since it is smaller than the sum of its proper divisors (263872992).

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

141101088 is a wasteful number, since it uses less digits than its factorization.

141101088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 141101088 is about 11878.5978970584. The cubic root of 141101088 is about 520.6071409379.

The spelling of 141101088 in words is "one hundred forty-one million, one hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2789 2976 3162 4216 5578 6324 8367 8432 11156 12648 16734 16864 22312 25296 33468 44624 47413 50592 66936 86459 89248 94826 133872 142239 172918 189652 259377 267744 284478 345836 379304 518754 568956 691672 758608 1037508 1137912 1383344 1469803 1517216 2075016 2275824 2766688 2939606 4150032 4409409 4551648 5879212 8300064 8818818 11758424 17637636 23516848 35275272 47033696 70550544 141101088