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2314310013040 = 2451719233894047
BaseRepresentation
bin100001101011010111101…
…000000101000001110000
322012020122020120212020011
4201223113220011001300
5300404201330404130
64531102423224304
7326126521351144
oct41532750050160
98166566525204
102314310013040
11812547739743
123146418a8094
1313a313c973cc
1480028327224
1540301b0a52a
hex21ad7a05070

2314310013040 has 160 divisors (see below), whose sum is σ = 6257890897920. Its totient is φ = 789525614592.

The previous prime is 2314310013013. The next prime is 2314310013047. The reversal of 2314310013040 is 403100134132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314310013047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352704 + ... + 2541343.

It is an arithmetic number, because the mean of its divisors is an integer number (39111818112).

Almost surely, 22314310013040 is an apocalyptic number.

2314310013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314310013040 is an abundant number, since it is smaller than the sum of its proper divisors (3943580884880).

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

2314310013040 is a wasteful number, since it uses less digits than its factorization.

2314310013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894119 (or 3894113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2314310013040 its reverse (403100134132), we get a palindrome (2717410147172).

The spelling of 2314310013040 in words is "two trillion, three hundred fourteen billion, three hundred ten million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 23 34 38 40 46 68 76 80 85 92 95 115 136 152 170 184 190 230 272 304 323 340 368 380 391 437 460 646 680 760 782 874 920 1292 1360 1520 1564 1615 1748 1840 1955 2185 2584 3128 3230 3496 3910 4370 5168 6256 6460 6992 7429 7820 8740 12920 14858 15640 17480 25840 29716 31280 34960 37145 59432 74290 118864 148580 297160 594320 3894047 7788094 15576188 19470235 31152376 38940470 62304752 66198799 73986893 77880940 89563081 132397598 147973786 155761880 179126162 264795196 295947572 311523760 330993995 358252324 369934465 447815405 529590392 591895144 661987990 716504648 739868930 895630810 1059180784 1183790288 1257777181 1323975980 1433009296 1479737860 1522572377 1701698539 1791261620 2515554362 2647951960 2959475720 3045144754 3403397078 3582523240 5031108724 5295903920 5918951440 6090289508 6288885905 6806794156 7165046480 7612861885 8508492695 10062217448 12180579016 12577771810 13613588312 15225723770 17016985390 20124434896 24361158032 25155543620 27227176624 28928875163 30451447540 34033970780 50311087240 57857750326 60902895080 68067941560 100622174480 115715500652 121805790160 136135883120 144644375815 231431001304 289288751630 462862002608 578577503260 1157155006520 2314310013040