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231295138734 = 231173243719699
BaseRepresentation
bin1101011101101001000…
…0111011101110101110
3211010000100121110012210
43113122100323232232
512242143023414414
6254131105311250
722465465145352
oct3273220735656
9733010543183
10231295138734
118a101092120
12389b0335526
1318a70b0964a
14b2a2543462
15603ab2ce59
hex35da43bbae

231295138734 has 64 divisors (see below), whose sum is σ = 511792761600. Its totient is φ = 69097432320.

The previous prime is 231295138733. The next prime is 231295138747. The reversal of 231295138734 is 437831592132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231295138733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11731617 + ... + 11751315.

It is an arithmetic number, because the mean of its divisors is an integer number (7996761900).

Almost surely, 2231295138734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231295138734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255896380800).

231295138734 is an abundant number, since it is smaller than the sum of its proper divisors (280497622866).

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

231295138734 is a wasteful number, since it uses less digits than its factorization.

231295138734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22225.

The product of its digits is 1088640, while the sum is 48.

The spelling of 231295138734 in words is "two hundred thirty-one billion, two hundred ninety-five million, one hundred thirty-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 2409 2437 4818 4874 7311 14622 19699 26807 39398 53614 59097 80421 118194 160842 177901 216689 355802 433378 533703 650067 1067406 1300134 1438027 1956911 2876054 3913822 4314081 5870733 8628162 11741466 15818297 31636594 47454891 48006463 94909782 96012926 144019389 288038778 528071093 1056142186 1584213279 3168426558 3504471799 7008943598 10513415397 21026830794 38549189789 77098379578 115647569367 231295138734