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10234003320240 = 2435732531872631
BaseRepresentation
bin1001010011101100101000…
…1000011110110110110000
31100020100202021202120122220
42110323022020132312300
52320133214322221430
633433234120201040
72104245066632610
oct224731210366660
940210667676586
1010234003320240
11329624208aa77
121193503009180
135930a705451b
142754851d4a40
1512b3236c0110
hex94eca21edb0

10234003320240 has 160 divisors (see below), whose sum is σ = 36268777030656. Its totient is φ = 2338480419840.

The previous prime is 10234003320221. The next prime is 10234003320259. The reversal of 10234003320240 is 4202330043201.

It is an interprime number because it is at equal distance from previous prime (10234003320221) and next prime (10234003320259).

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 10234003320240.

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, 4528725 + ... + 6401355.

Almost surely, 210234003320240 is an apocalyptic number.

10234003320240 is a gapful number since it is divisible by the number (10) 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 10234003320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134388515328).

10234003320240 is an abundant number, since it is smaller than the sum of its proper divisors (26034773710416).

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

10234003320240 is a wasteful number, since it uses less digits than its factorization.

10234003320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875907 (or 1875901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10234003320240 its reverse (4202330043201), we get a palindrome (14436333363441).

The spelling of 10234003320240 in words is "ten trillion, two hundred thirty-four billion, three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3253 6506 9759 13012 16265 19518 22771 26024 32530 39036 45542 48795 52048 65060 68313 78072 91084 97590 113855 130120 136626 156144 182168 195180 227710 260240 273252 341565 364336 390360 455420 546504 683130 780720 910840 1093008 1366260 1821680 1872631 2732520 3745262 5465040 5617893 7490524 9363155 11235786 13108417 14981048 18726310 22471572 26216834 28089465 29962096 37452620 39325251 44943144 52433668 56178930 65542085 74905240 78650502 89886288 104867336 112357860 131084170 149810480 157301004 196626255 209734672 224715720 262168340 314602008 393252510 449431440 524336680 629204016 786505020 1048673360 1573010040 3146020080 6091668643 12183337286 18275005929 24366674572 30458343215 36550011858 42641680501 48733349144 60916686430 73100023716 85283361002 91375029645 97466698288 121833372860 127925041503 146200047432 170566722004 182750059290 213208402505 243666745720 255850083006 292400094864 341133444008 365500118580 426416805010 487333491440 511700166012 639625207515 682266888016 731000237160 852833610020 1023400332024 1279250415030 1462000474320 1705667220040 2046800664048 2558500830060 3411334440080 5117001660120 10234003320240