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41314243620 = 22351324786689
BaseRepresentation
bin100110011110100001…
…010101010000100100
310221122021001000211010
4212132201111100210
51134102421243440
630551323342220
72661543163566
oct463641252044
9127567030733
1041314243620
11165808a47a1
128010081970
133b85436800
141ddcd59336
15111c08c580
hex99e855424

41314243620 has 144 divisors (see below), whose sum is σ = 127929473280. Its totient is φ = 9953169408.

The previous prime is 41314243613. The next prime is 41314243637. The reversal of 41314243620 is 2634241314.

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

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, 433236 + ... + 519924.

It is an arithmetic number, because the mean of its divisors is an integer number (888399120).

Almost surely, 241314243620 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 41314243620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964736640).

41314243620 is an abundant number, since it is smaller than the sum of its proper divisors (86615229660).

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

41314243620 is a wasteful number, since it uses less digits than its factorization.

41314243620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86774 (or 86759 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 41314243620 its reverse (2634241314), we get a palindrome (43948484934).

The spelling of 41314243620 in words is "forty-one billion, three hundred fourteen million, two hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 169 188 195 235 260 282 338 390 470 507 564 611 676 705 780 845 940 1014 1222 1410 1690 1833 2028 2444 2535 2820 3055 3380 3666 5070 6110 7332 7943 9165 10140 12220 15886 18330 23829 31772 36660 39715 47658 79430 86689 95316 119145 158860 173378 238290 260067 346756 433445 476580 520134 866890 1040268 1126957 1300335 1733780 2253914 2600670 3380871 4074383 4507828 5201340 5634785 6761742 8148766 11269570 12223149 13523484 14650441 16297532 16904355 20371915 22539140 24446298 29300882 33808710 40743830 43951323 48892596 52966979 58601764 61115745 67617420 73252205 81487660 87902646 105933958 122231490 146504410 158900937 175805292 211867916 219756615 244462980 264834895 293008820 317801874 439513230 529669790 635603748 688570727 794504685 879026460 1059339580 1377141454 1589009370 2065712181 2754282908 3178018740 3442853635 4131424362 6885707270 8262848724 10328560905 13771414540 20657121810 41314243620