Search a number
-
+
3141030313000 = 235317210868617
BaseRepresentation
bin101101101101010011111…
…111101111110000101000
3102010021112210200110221001
4231231103333233300220
5402430312230004000
610402545220324344
7442634442065266
oct55552377576050
912107483613831
103141030313000
1110011157a8268
124289048436b4
1319a2759b3658
14ac0532c3436
1556a8ab3346a
hex2db53fefc28

3141030313000 has 96 divisors (see below), whose sum is σ = 7807797798840. Its totient is φ = 1182505420800.

The previous prime is 3141030312913. The next prime is 3141030313079. The reversal of 3141030313000 is 3130301413.

It can be written as a sum of positive squares in 12 ways, for example, as 148137232996 + 2992893080004 = 384886^2 + 1729998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5145309 + ... + 5723308.

Almost surely, 23141030313000 is an apocalyptic number.

It is an amenable number.

3141030313000 is an abundant number, since it is smaller than the sum of its proper divisors (4666767485840).

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

3141030313000 is a wasteful number, since it uses less digits than its factorization.

3141030313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868672 (or 10868641 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3141030313000 its reverse (3130301413), we get a palindrome (3144160614413).

The spelling of 3141030313000 in words is "three trillion, one hundred forty-one billion, thirty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 680 850 1000 1156 1445 1700 2125 2312 2890 3400 4250 5780 7225 8500 11560 14450 17000 28900 36125 57800 72250 144500 289000 10868617 21737234 43474468 54343085 86948936 108686170 184766489 217372340 271715425 369532978 434744680 543430850 739065956 923832445 1086861700 1358577125 1478131912 1847664890 2173723400 2717154250 3141030313 3695329780 4619162225 5434308500 6282060626 7390659560 9238324450 10868617000 12564121252 15705151565 18476648900 23095811125 25128242504 31410303130 36953297800 46191622250 62820606260 78525757825 92383244500 125641212520 157051515650 184766489000 314103031300 392628789125 628206062600 785257578250 1570515156500 3141030313000