Search a number
-
+
701741834140 = 2251717330738861
BaseRepresentation
bin10100011011000110001…
…00101001111110011100
32111002022121001201222111
422031203010221332130
542444131402143030
61254213054523404
7101461550113114
oct12154304517634
92432277051874
10701741834140
11250674a75446
12b4003b06564
13512352a2b29
1425d7079a044
15133c1e7162a
hexa363129f9c

701741834140 has 96 divisors (see below), whose sum is σ = 1574515381824. Its totient is φ = 261795778560.

The previous prime is 701741834099. The next prime is 701741834237. The reversal of 701741834140 is 41438147107.

701741834140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 701741834093 and 701741834102.

It is a congruent 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, 18038310 + ... + 18077170.

It is an arithmetic number, because the mean of its divisors is an integer number (16401201894).

Almost surely, 2701741834140 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 701741834140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787257690912).

701741834140 is an abundant number, since it is smaller than the sum of its proper divisors (872773547684).

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

701741834140 is a wasteful number, since it uses less digits than its factorization.

701741834140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39367 (or 39365 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 701741834140 in words is "seven hundred one billion, seven hundred forty-one million, eight hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 307 340 346 614 692 865 1228 1535 1730 2941 3070 3460 5219 5882 6140 10438 11764 14705 20876 26095 29410 38861 52190 53111 58820 77722 104380 106222 155444 194305 212444 265555 388610 531110 660637 777220 902887 1062220 1321274 1805774 2642548 3303185 3611548 4514435 6606370 6722953 9028870 11930327 13212740 13445906 18057740 23860654 26891812 33614765 47721308 59651635 67229530 114290201 119303270 134459060 202815559 228580402 238606540 405631118 457160804 571451005 811262236 1014077795 1142902010 2028155590 2063946571 2285804020 4056311180 4127893142 8255786284 10319732855 20639465710 35087091707 41278931420 70174183414 140348366828 175435458535 350870917070 701741834140