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424540500240 = 243519716575419
BaseRepresentation
bin1100010110110001001…
…01011111000100010000
31111120210221211221122010
412023120211133010100
523423424332001430
6523010424142520
742446336465643
oct6133045370420
91446727757563
10424540500240
1115405705445a
126a341907a40
13310598ccbbc
14167954d7a5a
15b09b0a2cb0
hex62d895f110

424540500240 has 160 divisors (see below), whose sum is σ = 1323798664320. Its totient is φ = 112547377152.

The previous prime is 424540500239. The next prime is 424540500287. The reversal of 424540500240 is 42005045424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424540500198 and 424540500207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78340251 + ... + 78345669.

It is an arithmetic number, because the mean of its divisors is an integer number (8273741652).

Almost surely, 2424540500240 is an apocalyptic number.

424540500240 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 424540500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661899332160).

424540500240 is an abundant number, since it is smaller than the sum of its proper divisors (899258164080).

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

424540500240 is a wasteful number, since it uses less digits than its factorization.

424540500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 424540500240 its reverse (42005045424), we get a palindrome (466545545664).

The spelling of 424540500240 in words is "four hundred twenty-four billion, five hundred forty million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1657 1970 2364 2955 3152 3314 3940 4728 4971 5419 5910 6628 7880 8285 9456 9942 10838 11820 13256 15760 16257 16570 19884 21676 23640 24855 26512 27095 32514 33140 39768 43352 47280 49710 54190 65028 66280 79536 81285 86704 99420 108380 130056 132560 162570 198840 216760 260112 325140 326429 397680 433520 650280 652858 979287 1067543 1300560 1305716 1632145 1958574 2135086 2611432 3202629 3264290 3917148 4270172 4896435 5222864 5337715 6405258 6528580 7834296 8540344 8979283 9792870 10675430 12810516 13057160 15668592 16013145 17080688 17958566 19585740 21350860 25621032 26114320 26937849 32026290 35917132 39171480 42701720 44896415 51242064 53875698 64052580 71834264 78342960 85403440 89792830 107751396 128105160 134689245 143668528 179585660 215502792 256210320 269378490 359171320 431005584 538756980 718342640 1077513960 1768918751 2155027920 3537837502 5306756253 7075675004 8844593755 10613512506 14151350008 17689187510 21227025012 26533781265 28302700016 35378375020 42454050024 53067562530 70756750040 84908100048 106135125060 141513500080 212270250120 424540500240