Search a number
-
+
3157362242300 = 2252710155780177
BaseRepresentation
bin101101111100100001011…
…101000111001011111100
3102011211201000002110010102
4231330201131013023330
5403212234213223200
610414245554300232
7444053244150440
oct55744135071374
912154630073112
103157362242300
1110080367454a2
1242bb02287678
1319b979466846
14acb6237a820
15571e48436d5
hex2df217472fc

3157362242300 has 144 divisors (see below), whose sum is σ = 7922081579328. Its totient is φ = 1069868544000.

The previous prime is 3157362242239. The next prime is 3157362242357. The reversal of 3157362242300 is 32422637513.

It is a congruent 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, 39339812 + ... + 39419988.

It is an arithmetic number, because the mean of its divisors is an integer number (55014455412).

Almost surely, 23157362242300 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 3157362242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961040789664).

3157362242300 is an abundant number, since it is smaller than the sum of its proper divisors (4764719337028).

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

3157362242300 is a wasteful number, since it uses less digits than its factorization.

3157362242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80856 (or 80849 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

Adding to 3157362242300 its reverse (32422637513), we get a palindrome (3189784879813).

The spelling of 3157362242300 in words is "three trillion, one hundred fifty-seven billion, three hundred sixty-two million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 557 700 707 1010 1114 1414 2020 2228 2525 2785 2828 3535 3899 5050 5570 7070 7798 10100 11140 13925 14140 15596 17675 19495 27850 35350 38990 55700 56257 70700 77980 80177 97475 112514 160354 194950 225028 281285 320708 389900 393799 400885 561239 562570 787598 801770 1122478 1125140 1406425 1575196 1603540 1968995 2004425 2244956 2806195 2812850 3937990 4008850 5612390 5625700 7875980 8017700 8097877 9844975 11224780 14030975 16195754 19689950 28061950 32391508 39379900 40489385 44658589 56123900 56685139 80978770 89317178 113370278 161957540 178634356 202446925 223292945 226740556 283425695 312610123 404893850 446585890 566851390 625220246 809787700 893171780 1116464725 1133702780 1250440492 1417128475 1563050615 2232929450 2834256950 3126101230 4465858900 4510517489 5668513900 6252202460 7815253075 9021034978 15630506150 18042069956 22552587445 31261012300 31573622423 45105174890 63147244846 90210349780 112762937225 126294489692 157868112115 225525874450 315736224230 451051748900 631472448460 789340560575 1578681121150 3157362242300