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10424043240 = 23351314334663
BaseRepresentation
bin10011011010101001…
…00100011011101000
3222220110200021002120
421231110210123220
5132322023340430
64442211231240
7516213622422
oct115524443350
928813607076
1010424043240
11446a111a76
12202aba8520
13ca17c9630
1470c5c5812
15410220610
hex26d5246e8

10424043240 has 128 divisors (see below), whose sum is σ = 33708407040. Its totient is φ = 2563577856.

The previous prime is 10424043199. The next prime is 10424043257. The reversal of 10424043240 is 4234042401.

It is a happy number.

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 10424043240.

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, 2233149 + ... + 2237811.

It is an arithmetic number, because the mean of its divisors is an integer number (263346930).

Almost surely, 210424043240 is an apocalyptic number.

10424043240 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 10424043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854203520).

10424043240 is an abundant number, since it is smaller than the sum of its proper divisors (23284363800).

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

10424043240 is a wasteful number, since it uses less digits than its factorization.

10424043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10424043240 its reverse (4234042401), we get a palindrome (14658085641).

The spelling of 10424043240 in words is "ten billion, four hundred twenty-four million, forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1433 1560 2866 4299 4663 5732 7165 8598 9326 11464 13989 14330 17196 18629 18652 21495 23315 27978 28660 34392 37258 37304 42990 46630 55887 55956 57320 60619 69945 74516 85980 93145 93260 111774 111912 121238 139890 149032 171960 181857 186290 186520 223548 242476 279435 279780 303095 363714 372580 447096 484952 558870 559560 606190 727428 745160 909285 1117740 1212380 1454856 1818570 2235480 2424760 3637140 6682079 7274280 13364158 20046237 26728316 33410395 40092474 53456632 66820790 80184948 86867027 100231185 133641580 160369896 173734054 200462370 260601081 267283160 347468108 400924740 434335135 521202162 694936216 801849480 868670270 1042404324 1303005405 1737340540 2084808648 2606010810 3474681080 5212021620 10424043240