Search a number
-
+
44103413003100 = 223521116111829537
BaseRepresentation
bin10100000011100101000000…
…10000111111001101011100
312210011020121200102120120120
422001302200100333031130
521240042242212044400
6233444454521514540
712201236455060533
oct1201624020771534
9183136550376516
1044103413003100
1113064174959560
124b43653942a50
131b7bc1accc199
14ac688bc6d31a
1551736e886ca0
hex281ca043f35c

44103413003100 has 144 divisors (see below), whose sum is σ = 139215217322496. Its totient is φ = 10691059968000.

The previous prime is 44103413003081. The next prime is 44103413003179. The reversal of 44103413003100 is 130031430144.

It is a super-2 number, since 2×441034130031002 (a number of 28 digits) contains 22 as substring.

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, 52751532 + ... + 53581068.

Almost surely, 244103413003100 is an apocalyptic number.

It is an amenable number.

44103413003100 is an abundant number, since it is smaller than the sum of its proper divisors (95111804319396).

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

44103413003100 is a wasteful number, since it uses less digits than its factorization.

44103413003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845676 (or 845669 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 44103413003100 its reverse (130031430144), we get a palindrome (44233444433244).

The spelling of 44103413003100 in words is "forty-four trillion, one hundred three billion, four hundred thirteen million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 16111 32222 48333 64444 80555 96666 161110 177221 193332 241665 322220 354442 402775 483330 531663 708884 805550 829537 886105 966660 1063326 1208325 1611100 1659074 1772210 2126652 2416650 2488611 2658315 3318148 3544420 4147685 4430525 4833300 4977222 5316630 8295370 8861050 9124907 9954444 10633260 12443055 13291575 16590740 17722100 18249814 20738425 24886110 26583150 27374721 36499628 41476850 45624535 49772220 53166300 54749442 62215275 82953700 91249070 109498884 124430550 136873605 182498140 228122675 248861100 273747210 456245350 547494420 684368025 912490700 1368736050 2737472100 13364670607 26729341214 40094011821 53458682428 66823353035 80188023642 133646706070 147011376677 160376047284 200470059105 267293412140 294022753354 334116765175 400940118210 441034130031 588045506708 668233530350 735056883385 801880236420 882068260062 1002350295525 1336467060700 1470113766770 1764136520124 2004700591050 2205170650155 2940227533540 3675284416925 4009401182100 4410341300310 7350568833850 8820682600620 11025853250775 14701137667700 22051706501550 44103413003100