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41020424560 = 24523413471567
BaseRepresentation
bin100110001101000000…
…100000000101110000
310220212210011110211201
4212031000200011300
51133002212041220
630502230020544
72651344566343
oct461500400560
9126783143751
1041020424560
111643aa62125
127b497a7754
133b395c118b
141db1d1445a
15110139ed0a
hex98d020170

41020424560 has 160 divisors (see below), whose sum is σ = 102305452032. Its totient is φ = 15258101760.

The previous prime is 41020424527. The next prime is 41020424561. The reversal of 41020424560 is 6542402014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41020424561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26176897 + ... + 26178463.

Almost surely, 241020424560 is an apocalyptic number.

41020424560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41020424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51152726016).

41020424560 is an abundant number, since it is smaller than the sum of its proper divisors (61285027472).

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

41020424560 is a wasteful number, since it uses less digits than its factorization.

41020424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 41020424560 its reverse (6542402014), we get a palindrome (47562826574).

The spelling of 41020424560 in words is "forty-one billion, twenty million, four hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 347 368 410 460 656 694 820 920 943 1388 1567 1640 1735 1840 1886 2776 3134 3280 3470 3772 4715 5552 6268 6940 7544 7835 7981 9430 12536 13880 14227 15088 15670 15962 18860 25072 27760 28454 31340 31924 36041 37720 39905 56908 62680 63848 64247 71135 72082 75440 79810 113816 125360 127696 128494 142270 144164 159620 180205 227632 256988 284540 288328 319240 321235 327221 360410 513976 543749 569080 576656 638480 642470 654442 720820 1027952 1087498 1138160 1284940 1308884 1441640 1477681 1636105 2174996 2569880 2617768 2718745 2883280 2955362 3272210 4349992 5139760 5235536 5437490 5910724 6544420 7388405 8699984 10874980 11821448 12506227 13088840 14776810 21749960 22293709 23642896 25012454 26177680 29553620 43499920 44587418 50024908 59107240 62531135 89174836 100049816 111468545 118214480 125062270 178349672 200099632 222937090 250124540 356699344 445874180 500249080 512755307 891748360 1000498160 1025510614 1783496720 2051021228 2563776535 4102042456 5127553070 8204084912 10255106140 20510212280 41020424560