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3020541311216 = 241113101116311239
BaseRepresentation
bin101011111101000110010…
…010101011100011110000
3101200202112201101000002102
4223331012102223203300
5343442032033424331
610231341215035532
7431140554343562
oct53750622534360
911622481330072
103020541311216
11a65005908940
1240949920bba8
1318bab33c5220
14a62a3049332
1553887c884cb
hex2bf464ab8f0

3020541311216 has 160 divisors (see below), whose sum is σ = 6950090165760. Its totient is φ = 1253621376000.

The previous prime is 3020541311209. The next prime is 3020541311251. The reversal of 3020541311216 is 6121131450203.

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, 268749725 + ... + 268760963.

It is an arithmetic number, because the mean of its divisors is an integer number (43438063536).

Almost surely, 23020541311216 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 3020541311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475045082880).

3020541311216 is an abundant number, since it is smaller than the sum of its proper divisors (3929548854544).

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

3020541311216 is a wasteful number, since it uses less digits than its factorization.

3020541311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 3020541311216 its reverse (6121131450203), we get a palindrome (9141672761419).

The spelling of 3020541311216 in words is "three trillion, twenty billion, five hundred forty-one million, three hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1111 1144 1163 1313 1616 2222 2288 2326 2626 4444 4652 5252 8888 9304 10504 11239 12793 14443 15119 17776 18608 21008 22478 25586 28886 30238 44956 51172 57772 60476 89912 102344 115544 117463 120952 123629 146107 166309 179824 204688 231088 234926 241904 247258 292214 332618 469852 494516 584428 665236 939704 989032 1135139 1168856 1292093 1330472 1527019 1607177 1879408 1978064 2270278 2337712 2584186 2660944 3054038 3214354 4540556 5168372 6108076 6428708 9081112 10336744 12216152 12486529 12857416 13070957 14756807 16797209 18162224 20673488 24432304 24973058 25714832 26141914 29513614 33594418 49946116 52283828 59027228 67188836 99892232 104567656 118054456 134377672 143780527 162324877 169922441 199784464 209135312 236108912 268755344 287561054 324649754 339844882 575122108 649299508 679689764 1150244216 1298599016 1320166657 1359379528 1869146851 2300488432 2597198032 2640333314 2718759056 3738293702 5280666628 7476587404 10561333256 14521833227 14953174808 17162166541 21122666512 29043666454 29906349616 34324333082 58087332908 68648666164 116174665816 137297332328 188783831951 232349331632 274594664656 377567663902 755135327804 1510270655608 3020541311216