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312343004310040 = 2351122932851108587
BaseRepresentation
bin100011100000100110000010…
…1110100011110101000011000
31111221220200220000011000111101
41013001030011310132220120
5311414411433100410130
63024144221215041144
7122535015551152234
oct10701140564365030
91457820800130441
10312343004310040
1190581a19193220
122b0462002101b4
1310538a85238ab2
14571b6a6b2d5c4
152619b5956b1ca
hex11c1305d1ea18

312343004310040 has 128 divisors (see below), whose sum is σ = 767270541899520. Its totient is φ = 113488875072000.

The previous prime is 312343004310037. The next prime is 312343004310091. The reversal of 312343004310040 is 40013400343213.

It is a junction number, because it is equal to n+sod(n) for n = 312343004309990 and 312343004310008.

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, 2876376627 + ... + 2876485213.

It is an arithmetic number, because the mean of its divisors is an integer number (5994301108590).

Almost surely, 2312343004310040 is an apocalyptic number.

It is an amenable number.

312343004310040 is an abundant number, since it is smaller than the sum of its proper divisors (454927537589480).

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

312343004310040 is a wasteful number, since it uses less digits than its factorization.

312343004310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113753 (or 113749 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312343004310040 its reverse (40013400343213), we get a palindrome (352356404653253).

The spelling of 312343004310040 in words is "three hundred twelve trillion, three hundred forty-three billion, four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2293 2851 4586 5702 9172 11404 11465 14255 18344 22808 22930 25223 28510 31361 45860 50446 57020 62722 91720 100892 108587 114040 125444 126115 156805 201784 217174 250888 252230 313610 434348 504460 542935 627220 868696 1008920 1085870 1194457 1254440 2171740 2388914 4343480 4777828 5972285 6537343 9555656 11944570 13074686 23889140 26149372 32686715 47778280 52298744 65373430 71910773 130746860 143821546 248989991 261493720 287643092 309581537 359553865 497979982 575286184 619163074 719107730 995959964 1238326148 1244949955 1438215460 1547907685 1991919928 2476652296 2489899910 2738889901 2876430920 3095815370 3405396907 4979799820 5477779802 6191630740 6810793814 9959599640 10955559604 12383261480 13621587628 13694449505 17026984535 21911119208 27243175256 27388899010 34053969070 54777798020 68107938140 109555596040 136215876280 709870464341 1419740928682 2839481857364 3549352321705 5678963714728 7098704643410 7808575107751 14197409286820 15617150215502 28394818573640 31234300431004 39042875538755 62468600862008 78085751077510 156171502155020 312343004310040