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321430313310040 = 2351123107296840081
BaseRepresentation
bin100100100010101101101001…
…1101001010001011101011000
31120011002102211012020120221101
41021011123103221101131120
5314112303240201410130
63055343014124321144
7124463400544164154
oct11105332351213530
91504072735216841
10321430313310040
11934659152132a0
12300734216a31b4
1310a4799656595c
14595344b184064
152726217c1b1ca
hex12456d3a51758

321430313310040 has 128 divisors (see below), whose sum is σ = 830962251947520. Its totient is φ = 110756970649600.

The previous prime is 321430313310023. The next prime is 321430313310053. The reversal of 321430313310040 is 40013313034123.

It is a junction number, because it is equal to n+sod(n) for n = 321430313309990 and 321430313310008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147337201 + ... + 149502880.

It is an arithmetic number, because the mean of its divisors is an integer number (6491892593340).

Almost surely, 2321430313310040 is an apocalyptic number.

It is an amenable number.

321430313310040 is an abundant number, since it is smaller than the sum of its proper divisors (509531938637480).

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

321430313310040 is a wasteful number, since it uses less digits than its factorization.

321430313310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296840233 (or 296840229 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 321430313310040 its reverse (40013313034123), we get a palindrome (361443626344163).

The spelling of 321430313310040 in words is "three hundred twenty-one trillion, four hundred thirty billion, three hundred thirteen million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 107 110 115 184 214 220 230 253 428 440 460 506 535 856 920 1012 1070 1177 1265 2024 2140 2354 2461 2530 4280 4708 4922 5060 5885 9416 9844 10120 11770 12305 19688 23540 24610 27071 47080 49220 54142 98440 108284 135355 216568 270710 541420 1082840 296840081 593680162 1187360324 1484200405 2374720648 2968400810 3265240891 5936801620 6530481782 6827321863 11873603240 13060963564 13654643726 16326204455 26121927128 27309287452 31761888667 32652408910 34136609315 54618574904 63523777334 65304817820 68273218630 75100540493 127047554668 130609635640 136546437260 150201080986 158809443335 254095109336 273092874520 300402161972 317618886670 349380775337 375502702465 600804323944 635237773340 698761550674 730523439341 751005404930 1270475546680 1397523101348 1461046878682 1502010809860 1746903876685 2795046202696 2922093757364 3004021619720 3493807753370 3652617196705 5844187514728 6987615506740 7305234393410 8035757832751 13975231013480 14610468786820 16071515665502 29220937573640 32143031331004 40178789163755 64286062662008 80357578327510 160715156655020 321430313310040