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5040314234112 = 28356914717841
BaseRepresentation
bin100100101011000101000…
…1000111011010100000000
3122211211221011110102002010
41021112022020323110000
51130040030420442422
614415253254252520
71030102454045313
oct111261210732400
918754834412063
105040314234112
111673648a91313
12694a1b057140
132a73b8289471
14135d4999097a
158b19bac9b0c
hex4958a23b500

5040314234112 has 144 divisors (see below), whose sum is σ = 13449012433920. Its totient is φ = 1675798118400.

The previous prime is 5040314234099. The next prime is 5040314234129. The reversal of 5040314234112 is 2114324130405.

It is a self number, because there is not a number n which added to its sum of digits gives 5040314234112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642811312 + ... + 642819152.

It is an arithmetic number, because the mean of its divisors is an integer number (93395919680).

Almost surely, 25040314234112 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 5040314234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724506216960).

5040314234112 is an abundant number, since it is smaller than the sum of its proper divisors (8408698199808).

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

5040314234112 is a wasteful number, since it uses less digits than its factorization.

5040314234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 5040314234112 its reverse (2114324130405), we get a palindrome (7154638364517).

The spelling of 5040314234112 in words is "five trillion, forty billion, three hundred fourteen million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 569 768 1138 1471 1707 2276 2942 3414 4413 4552 5884 6828 7841 8826 9104 11768 13656 15682 17652 18208 23523 23536 27312 31364 35304 36416 47046 47072 54624 62728 70608 72832 94092 94144 109248 125456 141216 145664 188184 188288 218496 250912 282432 376368 376576 436992 501824 564864 752736 836999 1003648 1129728 1505472 1673998 2007296 2510997 3010944 3347996 4461529 5021994 6021888 6695992 8923058 10043988 11534111 13384587 13391984 17846116 20087976 23068222 26769174 26783968 34602333 35692232 40175952 46136444 53538348 53567936 69204666 71384464 80351904 92272888 107076696 107135872 138409332 142768928 160703808 184545776 214153392 214271744 276818664 285537856 321407616 369091552 428306784 553637328 571075712 642815232 738183104 856613568 1107274656 1142151424 1476366208 1713227136 2214549312 2952732416 3426454272 4429098624 6562909159 8858197248 13125818318 19688727477 26251636636 39377454954 52503273272 78754909908 105006546544 157509819816 210013093088 315019639632 420026186176 630039279264 840052372352 1260078558528 1680104744704 2520157117056 5040314234112