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401113434540 = 2235721310494857
BaseRepresentation
bin1011101011001000011…
…10010100100110101100
31102100100021200201001010
411311210032110212230
523032440014401130
6504134032545220
740656651636600
oct5654416244654
91370307621033
10401113434540
11145125093235
12658a40b2210
132ba95213c50
14155b1ddb500
15a6795350b0
hex5d643949ac

401113434540 has 144 divisors (see below), whose sum is σ = 1406982642912. Its totient is φ = 84630518784.

The previous prime is 401113434517. The next prime is 401113434653. The reversal of 401113434540 is 45434311104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401113434498 and 401113434507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5209209 + ... + 5285648.

It is an arithmetic number, because the mean of its divisors is an integer number (9770712798).

Almost surely, 2401113434540 is an apocalyptic number.

It is an amenable number.

401113434540 is an abundant number, since it is smaller than the sum of its proper divisors (1005869208372).

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

401113434540 is a wasteful number, since it uses less digits than its factorization.

401113434540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494896 (or 10494887 counting only the distinct ones).

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

Adding to 401113434540 its reverse (45434311104), we get a palindrome (446547745644).

The spelling of 401113434540 in words is "four hundred one billion, one hundred thirteen million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 10494857 20989714 31484571 41979428 52474285 62969142 73463999 104948570 125938284 136433141 146927998 157422855 209897140 220391997 272866282 293855996 314845710 367319995 409299423 440783994 514247993 545732564 629691420 682165705 734639990 818598846 881567988 955031987 1028495986 1101959985 1364331410 1469279980 1542743979 1637197692 1910063974 2046497115 2056991972 2203919970 2571239965 2728662820 2865095961 3085487958 3820127948 4092994230 4407839940 4775159935 5142479930 5730191922 6170975916 6685223909 7713719895 8185988460 9550319870 10284959860 11460383844 13370447818 14325479805 15427439790 19100639740 20055671727 26740895636 28650959610 30854879580 33426119545 40111343454 57301919220 66852239090 80222686908 100278358635 133704478180 200556717270 401113434540