Search a number
-
+
31455022455220 = 225721322710876639
BaseRepresentation
bin1110010011011101100010…
…11100001001100110110100
311010101001220121010212220211
413021232301130021212310
513110324341222031340
6150522123212035204
76424356531242500
oct711566134114664
9133331817125824
1031455022455220
11a028000166331
12364023b462b04
1314722714a7520
147aa607351300
1539833d6bd5ea
hex1c9bb17099b4

31455022455220 has 144 divisors (see below), whose sum is σ = 83115454302720. Its totient is φ = 9911140598016.

The previous prime is 31455022455211. The next prime is 31455022455239. The reversal of 31455022455220 is 2255422055413.

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 47 ways as a sum of consecutive naturals, for example, 2546340 + ... + 8330299.

It is an arithmetic number, because the mean of its divisors is an integer number (577190654880).

Almost surely, 231455022455220 is an apocalyptic number.

It is an amenable number.

31455022455220 is an abundant number, since it is smaller than the sum of its proper divisors (51660431847500).

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

31455022455220 is a wasteful number, since it uses less digits than its factorization.

31455022455220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876902 (or 10876893 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 31455022455220 in words is "thirty-one trillion, four hundred fifty-five billion, twenty-two million, four hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 227 245 260 364 454 455 490 637 908 910 980 1135 1274 1589 1820 2270 2548 2951 3178 3185 4540 5902 6356 6370 7945 11123 11804 12740 14755 15890 20657 22246 29510 31780 41314 44492 55615 59020 82628 103285 111230 144599 206570 222460 289198 413140 578396 722995 1445990 2891980 10876639 21753278 43506556 54383195 76136473 108766390 141396307 152272946 217532780 282792614 304545892 380682365 532955311 565585228 706981535 761364730 989774149 1065910622 1413963070 1522729460 1979548298 2131821244 2468997053 2664776555 2827926140 3959096596 4937994106 4948870745 5329553110 6928419043 9875988212 9897741490 10659106220 12344985265 13856838086 17282979371 19795482980 24689970530 27713676172 32096961689 34565958742 34642095215 49379941060 64193923378 69131917484 69284190430 86414896855 120980855597 128387846756 138568380860 160484808445 172829793710 224678731823 241961711194 320969616890 345659587420 449357463646 483923422388 604904277985 641939233780 898714927292 1123393659115 1209808555970 1572751122761 2246787318230 2419617111940 3145502245522 4493574636460 6291004491044 7863755613805 15727511227610 31455022455220