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413010201440 = 25523611839853
BaseRepresentation
bin1100000001010010101…
…00111000101101100000
31110111001101120002012102
412000221110320231200
523231321102421230
6513422333545532
741560530534314
oct6005124705540
91414041502172
10413010201440
1114a17a5452a1
12680643452a8
132cc3cb724a5
1415dc0025b44
15ab23bb3045
hex6029538b60

413010201440 has 96 divisors (see below), whose sum is σ = 1034851640256. Its totient is φ = 155430696960.

The previous prime is 413010201403. The next prime is 413010201469. The reversal of 413010201440 is 44102010314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695447 + ... + 1144406.

It is an arithmetic number, because the mean of its divisors is an integer number (10779704586).

Almost surely, 2413010201440 is an apocalyptic number.

413010201440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413010201440 is an abundant number, since it is smaller than the sum of its proper divisors (621841438816).

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

413010201440 is a wasteful number, since it uses less digits than its factorization.

413010201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839952 (or 1839944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 413010201440 its reverse (44102010314), we get a palindrome (457112211754).

The spelling of 413010201440 in words is "four hundred thirteen billion, ten million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 80 92 115 122 160 184 230 244 305 368 460 488 610 736 920 976 1220 1403 1840 1952 2440 2806 3680 4880 5612 7015 9760 11224 14030 22448 28060 44896 56120 112240 224480 1839853 3679706 7359412 9199265 14718824 18398530 29437648 36797060 42316619 58875296 73594120 84633238 112231033 147188240 169266476 211583095 224462066 294376480 338532952 423166190 448924132 561155165 677065904 846332380 897848264 1122310330 1354131808 1692664760 1795696528 2244620660 2581313759 3385329520 3591393056 4489241320 5162627518 6770659040 8978482640 10325255036 12906568795 17956965280 20650510072 25813137590 41301020144 51626275180 82602040288 103252550360 206505100720 413010201440