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10232400042240 = 28354361969477
BaseRepresentation
bin1001010011100110101010…
…0100011101100100000000
31100020012121112220121201020
42110321222210131210000
52320121423402322430
633432411044305440
72104160261200665
oct224715244354400
940205545817636
1010232400042240
11329559a07a532
1211931360a2280
13592bacb4170c
142753722c9a6c
1512b27ca74b10
hex94e6a91d900

10232400042240 has 144 divisors (see below), whose sum is σ = 33439721840448. Its totient is φ = 2665183223808.

The previous prime is 10232400042157. The next prime is 10232400042251. The reversal of 10232400042240 is 4224000423201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10232400042240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30819619 + ... + 31149858.

Almost surely, 210232400042240 is an apocalyptic number.

10232400042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232400042240 is an abundant number, since it is smaller than the sum of its proper divisors (23207321798208).

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

10232400042240 is an equidigital number, since it uses as much as digits as its factorization.

10232400042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61969544 (or 61969530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10232400042240 its reverse (4224000423201), we get a palindrome (14456400465441).

The spelling of 10232400042240 in words is "ten trillion, two hundred thirty-two billion, four hundred million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 860 960 1032 1280 1290 1376 1720 1920 2064 2580 2752 3440 3840 4128 5160 5504 6880 8256 10320 11008 13760 16512 20640 27520 33024 41280 55040 82560 165120 61969477 123938954 185908431 247877908 309847385 371816862 495755816 619694770 743633724 929542155 991511632 1239389540 1487267448 1859084310 1983023264 2478779080 2664687511 2974534896 3718168620 3966046528 4957558160 5329375022 5949069792 7436337240 7932093056 7994062533 9915116320 10658750044 11898139584 13323437555 14872674480 15864186112 15988125066 19830232640 21317500088 23796279168 26646875110 29745348960 31976250132 39660465280 39970312665 42635000176 47592558336 53293750220 59490697920 63952500264 79320930560 79940625330 85270000352 106587500440 118981395840 127905000528 159881250660 170540000704 213175000880 237962791680 255810001056 319762501320 341080001408 426350001760 511620002112 639525002640 682160002816 852700003520 1023240004224 1279050005280 1705400007040 2046480008448 2558100010560 3410800014080 5116200021120 10232400042240