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40240052100 = 223352143910357
BaseRepresentation
bin100101011110011111…
…100111011110000100
310211212101202110002000
4211132133213132010
51124402423131400
630252551545300
72623120541103
oct453637473604
9124771673060
1040240052100
111607a507806
12797038b230
133a43a21021
141d3a41803a
1510a7b03600
hex95e7e7784

40240052100 has 144 divisors (see below), whose sum is σ = 129466713600. Its totient is φ = 10722188160.

The previous prime is 40240052089. The next prime is 40240052123. The reversal of 40240052100 is 125004204.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3880122 + ... + 3890478.

It is an arithmetic number, because the mean of its divisors is an integer number (899074400).

Almost surely, 240240052100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733356800).

40240052100 is an abundant number, since it is smaller than the sum of its proper divisors (89226661500).

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

40240052100 is a wasteful number, since it uses less digits than its factorization.

40240052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40240052100 its reverse (125004204), we get a palindrome (40365056304).

The spelling of 40240052100 in words is "forty billion, two hundred forty million, fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1439 2700 2878 4317 5756 7195 8634 10357 12951 14390 17268 20714 21585 25902 28780 31071 35975 38853 41428 43170 51785 51804 62142 64755 71950 77706 86340 93213 103570 107925 124284 129510 143900 155355 155412 186426 194265 207140 215850 258925 259020 279639 310710 323775 372852 388530 431700 466065 517850 559278 621420 647550 776775 777060 932130 971325 1035700 1118556 1295100 1398195 1553550 1864260 1942650 2330325 2796390 3107100 3885300 4660650 5592780 6990975 9321300 13981950 14903723 27963900 29807446 44711169 59614892 74518615 89422338 134133507 149037230 178844676 223555845 268267014 298074460 372593075 402400521 447111690 536534028 670667535 745186150 804801042 894223380 1117779225 1341335070 1490372300 1609602084 2012002605 2235558450 2682670140 3353337675 4024005210 4471116900 6706675350 8048010420 10060013025 13413350700 20120026050 40240052100