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4131244780 = 22513431632267
BaseRepresentation
bin1111011000111101…
…1100101011101100
3101122220122222102221
43312033130223230
531430044313110
61521534525124
7204243000265
oct36617345354
911586588387
104131244780
11182aa86393
129736667a4
1350ab84950
142b295996c
15192a4c7da
hexf63dcaec

4131244780 has 96 divisors (see below), whose sum is σ = 9623142144. Its totient is φ = 1480114944.

The previous prime is 4131244771. The next prime is 4131244801. The reversal of 4131244780 is 874421314.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821207 + ... + 1823473.

It is an arithmetic number, because the mean of its divisors is an integer number (100241064).

Almost surely, 24131244780 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 4131244780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811571072).

4131244780 is an abundant number, since it is smaller than the sum of its proper divisors (5491897364).

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

4131244780 is a wasteful number, since it uses less digits than its factorization.

4131244780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4131244780 is about 64274.7600540056. The cubic root of 4131244780 is about 1604.5760638601.

The spelling of 4131244780 in words is "four billion, one hundred thirty-one million, two hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 163 172 215 260 326 430 559 652 815 860 1118 1630 2119 2236 2267 2795 3260 4238 4534 5590 7009 8476 9068 10595 11180 11335 14018 21190 22670 28036 29471 35045 42380 45340 58942 70090 91117 97481 117884 140180 147355 182234 194962 294710 364468 369521 389924 455585 487405 589420 739042 911170 974810 1267253 1478084 1822340 1847605 1949620 2534506 3695210 4803773 5069012 6336265 7390420 9607546 12672530 15889403 19215092 24018865 25345060 31778806 48037730 63557612 79447015 96075460 158894030 206562239 317788060 413124478 826248956 1032811195 2065622390 4131244780