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1024112303040 = 26357109150061
BaseRepresentation
bin11101110011100011101…
…10011001101111000000
310121220102010222022222210
432321301312121233000
5113234340222144130
62102245400502120
7133663312642431
oct16716166315700
93556363868883
101024112303040
11365361773072
1214659117a940
137575b925588
14377d2957488
151b98d53c5b0
hexee71d99bc0

1024112303040 has 112 divisors (see below), whose sum is σ = 3252035619360. Its totient is φ = 273056378880.

The previous prime is 1024112303023. The next prime is 1024112303057. The reversal of 1024112303040 is 403032114201.

It is an interprime number because it is at equal distance from previous prime (1024112303023) and next prime (1024112303057).

It is a junction number, because it is equal to n+sod(n) for n = 1024112302998 and 1024112303016.

It is a congruent number.

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, 6749610 + ... + 6899670.

Almost surely, 21024112303040 is an apocalyptic number.

1024112303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024112303040 is an abundant number, since it is smaller than the sum of its proper divisors (2227923316320).

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

1024112303040 is a wasteful number, since it uses less digits than its factorization.

1024112303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157190 (or 157180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1024112303040 its reverse (403032114201), we get a palindrome (1427144417241).

The spelling of 1024112303040 in words is "one trillion, twenty-four billion, one hundred twelve million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 7109 14218 21327 28436 35545 42654 56872 71090 85308 106635 113744 142180 150061 170616 213270 227488 284360 300122 341232 426540 450183 454976 568720 600244 682464 750305 853080 900366 1137440 1200488 1364928 1500610 1706160 1800732 2250915 2274880 2400976 3001220 3412320 3601464 4501830 4801952 6002440 6824640 7202928 9003660 9603904 12004880 14405856 18007320 24009760 28811712 36014640 48019520 72029280 144058560 1066783649 2133567298 3200350947 4267134596 5333918245 6400701894 8534269192 10667836490 12801403788 16001754735 17068538384 21335672980 25602807576 32003509470 34137076768 42671345960 51205615152 64007018940 68274153536 85342691920 102411230304 128014037880 170685383840 204822460608 256028075760 341370767680 512056151520 1024112303040