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2031139314 = 23543831171
BaseRepresentation
bin111100100010000…
…1011100111110010
312020112221120100000
41321010023213302
513124432424224
6533314210430
7101222253651
oct17104134762
95215846300
102031139314
11952586036
12488283a16
13264a5aaa9
14153a83198
15bd4b40c9
hex7910b9f2

2031139314 has 96 divisors (see below), whose sum is σ = 4730229504. Its totient is φ = 652775760.

The previous prime is 2031139261. The next prime is 2031139343. The reversal of 2031139314 is 4139311302.

2031139314 is a `hidden beast` number, since 2 + 0 + 311 + 39 + 314 = 666.

2031139314 is digitally balanced in base 4, 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 (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733949 + ... + 1735119.

It is an arithmetic number, because the mean of its divisors is an integer number (49273224).

Almost surely, 22031139314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031139314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365114752).

2031139314 is an abundant number, since it is smaller than the sum of its proper divisors (2699090190).

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

2031139314 is a wasteful number, since it uses less digits than its factorization.

2031139314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2031139314 is about 45068.1629756528. The cubic root of 2031139314 is about 1266.4262507550.

The spelling of 2031139314 in words is "two billion, thirty-one million, one hundred thirty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 81 83 86 129 162 166 243 249 258 387 486 498 747 774 1161 1171 1494 2241 2322 2342 3483 3513 3569 4482 6723 6966 7026 7138 10449 10539 10707 13446 20169 20898 21078 21414 31617 32121 40338 50353 63234 64242 94851 96363 97193 100706 151059 189702 192726 194386 284553 289089 291579 302118 453177 569106 578178 583158 867267 874737 906354 1359531 1734534 1749474 2624211 2719062 4078593 4179299 5248422 7872633 8157186 8358598 12235779 12537897 15745266 23617899 24471558 25075794 37613691 47235798 75227382 112841073 225682146 338523219 677046438 1015569657 2031139314