Search a number
-
+
441040064220 = 223257442379139
BaseRepresentation
bin1100110101100000000…
…10010100111011011100
31120011101211200122101100
412122300002110323130
524211222224023340
6534335551113100
743602245456010
oct6326002247334
91504354618340
10441040064220
11160053689048
1271587512790
1332789017902
14174bc94a540
15b714877830
hex66b0094edc

441040064220 has 144 divisors (see below), whose sum is σ = 1529303892480. Its totient is φ = 100785091968.

The previous prime is 441040064173. The next prime is 441040064237. The reversal of 441040064220 is 22460040144.

It is a happy number.

441040064220 is a `hidden beast` number, since 4 + 4 + 10 + 4 + 0 + 0 + 642 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5533411 + ... + 5612549.

It is an arithmetic number, because the mean of its divisors is an integer number (10620165920).

Almost surely, 2441040064220 is an apocalyptic number.

It is an amenable number.

441040064220 is an abundant number, since it is smaller than the sum of its proper divisors (1088263828260).

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

441040064220 is a wasteful number, since it uses less digits than its factorization.

441040064220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83584 (or 83579 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 441040064220 in words is "four hundred forty-one billion, forty million, sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4423 8846 13269 17692 22115 26538 30961 39807 44230 53076 61922 66345 79139 79614 88460 92883 123844 132690 154805 158278 159228 185766 199035 237417 265380 278649 309610 316556 371532 395695 398070 464415 474834 553973 557298 619220 712251 791390 796140 928830 949668 1107946 1114596 1187085 1393245 1424502 1582780 1661919 1857660 2215892 2374170 2769865 2786490 2849004 3323838 3561255 4748340 4985757 5539730 5572980 6647676 7122510 8309595 9971514 11079460 14245020 16619190 19943028 24928785 33238380 49857570 99715140 350031797 700063594 1050095391 1400127188 1750158985 2100190782 2450222579 3150286173 3500317970 4200381564 4900445158 5250476955 6300572346 7000635940 7350667737 9800890316 10500953910 12251112895 12601144692 14701335474 15751430865 21001907820 22052003211 24502225790 29402670948 31502861730 36753338685 44104006422 49004451580 63005723460 73506677370 88208012844 110260016055 147013354740 220520032110 441040064220