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10424231440 = 2457196116061
BaseRepresentation
bin10011011010101010…
…10010011000010000
3222220111000211020221
421231111102120100
5132322100401230
64442215242424
7516215335210
oct115525223020
928814024227
1010424231440
11446a230407
12202b079414
13ca18641ac
1470c634240
1541025b27a
hex26d552610

10424231440 has 160 divisors (see below), whose sum is σ = 29636317440. Its totient is φ = 3330201600.

The previous prime is 10424231437. The next prime is 10424231449. The reversal of 10424231440 is 4413242401.

It is a super-2 number, since 2×104242314402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10424231449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641010 + ... + 657070.

It is an arithmetic number, because the mean of its divisors is an integer number (185226984).

Almost surely, 210424231440 is an apocalyptic number.

10424231440 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 10424231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818158720).

10424231440 is an abundant number, since it is smaller than the sum of its proper divisors (19212086000).

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

10424231440 is a wasteful number, since it uses less digits than its factorization.

10424231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10424231440 its reverse (4413242401), we get a palindrome (14837473841).

The spelling of 10424231440 in words is "ten billion, four hundred twenty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 61 70 76 80 95 112 122 133 140 152 190 244 266 280 304 305 380 427 488 532 560 610 665 760 854 976 1064 1159 1220 1330 1520 1708 2128 2135 2318 2440 2660 3416 4270 4636 4880 5320 5795 6832 8113 8540 9272 10640 11590 16061 16226 17080 18544 23180 32122 32452 34160 40565 46360 64244 64904 80305 81130 92720 112427 128488 129808 160610 162260 224854 256976 305159 321220 324520 449708 562135 610318 642440 649040 899416 979721 1124270 1220636 1284880 1525795 1798832 1959442 2136113 2248540 2441272 3051590 3918884 4272226 4497080 4882544 4898605 6103180 6858047 7837768 8544452 8994160 9797210 10680565 12206360 13716094 15675536 17088904 18614699 19594420 21361130 24412720 27432188 34177808 34290235 37229398 39188840 42722260 54864376 68580470 74458796 78377680 85444520 93073495 109728752 130302893 137160940 148917592 170889040 186146990 260605786 274321880 297835184 372293980 521211572 548643760 651514465 744587960 1042423144 1303028930 1489175920 2084846288 2606057860 5212115720 10424231440