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10424224044304 = 247731429389203
BaseRepresentation
bin1001011110110001010000…
…1010111101010100010000
31100220112202002121120112021
42113230110022331110100
52331242302323404204
634100453350341224
72124060663255220
oct227542412752420
940815662546467
1010424224044304
113359985794444
12120434b65a814
135a8000318395
1428076c5ac080
15131258336154
hex97b142bd510

10424224044304 has 80 divisors (see below), whose sum is σ = 23400304423552. Its totient is φ = 4405967944704.

The previous prime is 10424224044301. The next prime is 10424224044323. The reversal of 10424224044304 is 40344042242401.

It is a self number, because there is not a number n which added to its sum of digits gives 10424224044304.

It is not an unprimeable number, because it can be changed into a prime (10424224044301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116814967 + ... + 116904169.

Almost surely, 210424224044304 is an apocalyptic number.

10424224044304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424224044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700152211776).

10424224044304 is an abundant number, since it is smaller than the sum of its proper divisors (12976080379248).

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

10424224044304 is a wasteful number, since it uses less digits than its factorization.

10424224044304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103584 (or 103578 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 10424224044304 its reverse (40344042242401), we get a palindrome (50768266286705).

The spelling of 10424224044304 in words is "ten trillion, four hundred twenty-four billion, two hundred twenty-four million, forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 14293 28586 57172 89203 100051 114344 178406 200102 228688 356812 400204 624421 713624 800408 1043389 1248842 1427248 1600816 2086778 2497684 4173556 4995368 6511819 7303723 8347112 9990736 13023638 14607446 16694224 26047276 29214892 45582733 52094552 58429784 91165466 104189104 116859568 182330932 364661864 729323728 1274978479 2549956958 5099913916 8924849353 10199827832 17849698706 20399655664 35699397412 71398794824 93073428967 142797589648 186146857934 372293715868 651514002769 744587431736 1303028005538 1489174863472 2606056011076 5212112022152 10424224044304