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1023102223440 = 2435111804121481
BaseRepresentation
bin11101110001101011010…
…01010000010001010000
310121210210202022222021020
432320311221100101100
5113230303132122230
62102001235155440
7133626266261103
oct16706551202120
93553722288236
101023102223440
11364993595340
1214634aa45b80
137562a59953b
143773874473a
151b92ea19810
hexee35a50450

1023102223440 has 160 divisors (see below), whose sum is σ = 3460298562432. Its totient is φ = 247999488000.

The previous prime is 1023102223327. The next prime is 1023102223459. The reversal of 1023102223440 is 443222013201.

It is a happy number.

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 1023102223440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47617500 + ... + 47638980.

Almost surely, 21023102223440 is an apocalyptic number.

1023102223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023102223440 is an abundant number, since it is smaller than the sum of its proper divisors (2437196338992).

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

1023102223440 is a wasteful number, since it uses less digits than its factorization.

1023102223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39549 (or 39543 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1023102223440 its reverse (443222013201), we get a palindrome (1466324236641).

The spelling of 1023102223440 in words is "one trillion, twenty-three billion, one hundred two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 18041 21481 36082 42962 54123 64443 72164 85924 90205 107405 108246 128886 144328 171848 180410 198451 214810 216492 236291 257772 270615 288656 322215 343696 360820 396902 429620 432984 472582 515544 541230 595353 644430 708873 721640 793804 859240 865968 945164 992255 1031088 1082460 1181455 1190706 1288860 1417746 1443280 1587608 1718480 1890328 1984510 2164920 2362910 2381412 2577720 2835492 2976765 3175216 3544365 3780656 3969020 4329840 4725820 4762824 5155440 5670984 5953530 7088730 7938040 9451640 9525648 11341968 11907060 14177460 15876080 18903280 23814120 28354920 47628240 56709840 387538721 775077442 1162616163 1550154884 1937693605 2325232326 3100309768 3875387210 4262925931 4650464652 5813080815 6200619536 7750774420 8525851862 9300929304 11626161630 12788777793 15501548840 17051703724 18601858608 21314629655 23252323260 25577555586 31003097680 34103407448 42629259310 46504646520 51155111172 63943888965 68206814896 85258518620 93009293040 102310222344 127887777930 170517037240 204620444688 255775555860 341034074480 511551111720 1023102223440