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4240133040 = 24351113123547
BaseRepresentation
bin1111110010111011…
…0100101110110000
3101221111120002001110
43330232310232300
532140433224130
61540424433320
7210034351623
oct37456645660
911844502043
104240133040
111886498790
129a4018840
135275bac80
142c31c1dba
1519c3aaab0
hexfcbb4bb0

4240133040 has 160 divisors (see below), whose sum is σ = 15442511616. Its totient is φ = 948833280.

The previous prime is 4240133017. The next prime is 4240133071. The reversal of 4240133040 is 403310424.

It is a junction number, because it is equal to n+sod(n) for n = 4240132998 and 4240133016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27454 + ... + 96093.

Almost surely, 24240133040 is an apocalyptic number.

4240133040 is a gapful number since it is divisible by the number (40) 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 4240133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721255808).

4240133040 is an abundant number, since it is smaller than the sum of its proper divisors (11202378576).

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

4240133040 is a wasteful number, since it uses less digits than its factorization.

4240133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123587 (or 123581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4240133040 is about 65116.3039491647. The cubic root of 4240133040 is about 1618.5513951816.

Adding to 4240133040 its reverse (403310424), we get a palindrome (4643443464).

The spelling of 4240133040 in words is "four billion, two hundred forty million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 123547 247094 370641 494188 617735 741282 988376 1235470 1359017 1482564 1606111 1853205 1976752 2470940 2718034 2965128 3212222 3706410 4077051 4818333 4941880 5436068 5930256 6424444 6795085 7412820 8030555 8154102 9636666 9883760 10872136 12848888 13590170 14825640 16061110 16308204 17667221 19273332 20385255 21744272 24091665 25697776 27180340 29651280 32122220 32616408 35334442 38546664 40770510 48183330 53001663 54360680 64244440 65232816 70668884 77093328 81541020 88336105 96366660 106003326 108721360 128488880 141337768 163082040 176672210 192733320 212006652 265008315 282675536 326164080 353344420 385466640 424013304 530016630 706688840 848026608 1060033260 1413377680 2120066520 4240133040