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10022403140040 = 2335401673309479
BaseRepresentation
bin1001000111011000010111…
…0001110110100111001000
31022111010120111200200110210
42101312011301312213020
52303201340200440130
633152121202041120
72053044331033344
oct221660561664710
938433514620423
1010022403140040
11321452831a795
12115a4aa6491a0
1357915467b0c5
14269130650624
15125a8bb555b0
hex91d85c769c8

10022403140040 has 128 divisors (see below), whose sum is σ = 30187075334400. Its totient is φ = 2662005964800.

The previous prime is 10022403140039. The next prime is 10022403140053. The reversal of 10022403140040 is 4004130422001.

It is a junction number, because it is equal to n+sod(n) for n = 10022403139989 and 10022403140016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32230021 + ... + 32539499.

It is an arithmetic number, because the mean of its divisors is an integer number (235836526050).

Almost surely, 210022403140040 is an apocalyptic number.

10022403140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022403140040 is an abundant number, since it is smaller than the sum of its proper divisors (20164672194360).

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

10022403140040 is a wasteful number, since it uses less digits than its factorization.

10022403140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310567 (or 310563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10022403140040 its reverse (4004130422001), we get a palindrome (14026533562041).

The spelling of 10022403140040 in words is "ten trillion, twenty-two billion, four hundred three million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 673 802 1203 1346 1604 2005 2019 2406 2692 3208 3365 4010 4038 4812 5384 6015 6730 8020 8076 9624 10095 12030 13460 16040 16152 20190 24060 26920 40380 48120 80760 269873 309479 539746 618958 809619 928437 1079492 1237916 1349365 1547395 1619238 1856874 2158984 2475832 2698730 3094790 3238476 3713748 4048095 4642185 5397460 6189580 6476952 7427496 8096190 9284370 10794920 12379160 16192380 18568740 32384760 37137480 124101079 208279367 248202158 372303237 416558734 496404316 620505395 624838101 744606474 833117468 992808632 1041396835 1241010790 1249676202 1489212948 1666234936 1861516185 2082793670 2482021580 2499352404 2978425896 3124190505 3723032370 4165587340 4964043160 4998704808 6248381010 7446064740 8331174680 12496762020 14892129480 24993524040 83520026167 167040052334 250560078501 334080104668 417600130835 501120157002 668160209336 835200261670 1002240314004 1252800392505 1670400523340 2004480628008 2505600785010 3340801046680 5011201570020 10022403140040