Search a number
-
+
3141337953924 = 223283235592
BaseRepresentation
bin101101101101100110010…
…101010011011010000100
3102010022100020120020221100
4231231212111103122010
5402431430004011144
610403035530220100
7442645166020512
oct55554625233204
912108306506840
103141337953924
111001263420465
1242898b884630
1319a2c46582c1
14ac0820c54b2
1556aa7b51269
hex2db66553684

3141337953924 has 81 divisors (see below), whose sum is σ = 8039685826263. Its totient is φ = 1034206165584.

The previous prime is 3141337953917. The next prime is 3141337953947. The reversal of 3141337953924 is 4293597331413.

It is a happy number.

The square root of 3141337953924 is 1772382.

It is a perfect power (a square), and thus also a powerful number.

3141337953924 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 33 + 79 + 539 + 2 + 4 = 666.

3141337953924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 882644457 + ... + 882648015.

Almost surely, 23141337953924 is an apocalyptic number.

3141337953924 is the 1772382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141337953924

3141337953924 is an abundant number, since it is smaller than the sum of its proper divisors (4898347872339).

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

3141337953924 is an frugal number, since it uses more digits than its factorization.

3141337953924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 3647 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 3141337953924 in words is "three trillion, one hundred forty-one billion, three hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3559 6889 7118 10677 13778 14236 20667 21354 27556 32031 41334 42708 62001 64062 82668 124002 128124 248004 295397 590794 886191 1181588 1772382 2658573 3544764 5317146 10634292 12666481 24517951 25332962 37999443 49035902 50665924 73553853 75998886 98071804 113998329 147107706 151997772 220661559 227996658 294215412 441323118 455993316 882646236 1051317923 2102635846 3153953769 4205271692 6307907538 9461861307 12615815076 18923722614 37847445228 87259387609 174518775218 261778162827 349037550436 523556325654 785334488481 1047112651308 1570668976962 3141337953924