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424240221440 = 285753893363
BaseRepresentation
bin1100010110001101011…
…00000000110100000000
31111120001000211012120002
412023012230000310000
523422320444041230
6522520540135132
742436032245360
oct6130654006400
91446030735502
10424240221440
11153a125aa562
126a2792374a8
133100c635239
14167676909a0
15b07ea3b545
hex62c6b00d00

424240221440 has 144 divisors (see below), whose sum is σ = 1183271338368. Its totient is φ = 142709219328.

The previous prime is 424240221439. The next prime is 424240221443. The reversal of 424240221440 is 44122042424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424240221443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28199 + ... + 921561.

It is an arithmetic number, because the mean of its divisors is an integer number (8217162072).

Almost surely, 2424240221440 is an apocalyptic number.

424240221440 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 424240221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591635669184).

424240221440 is an abundant number, since it is smaller than the sum of its proper divisors (759031116928).

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

424240221440 is an equidigital number, since it uses as much as digits as its factorization.

424240221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893444 (or 893430 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 424240221440 its reverse (44122042424), we get a palindrome (468362263864).

The spelling of 424240221440 in words is "four hundred twenty-four billion, two hundred forty million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 320 371 424 448 530 560 640 742 848 896 1060 1120 1280 1484 1696 1792 1855 2120 2240 2968 3392 3710 4240 4480 5936 6784 7420 8480 8960 11872 13568 14840 16960 23744 29680 33920 47488 59360 67840 94976 118720 237440 474880 893363 1786726 3573452 4466815 6253541 7146904 8933630 12507082 14293808 17867260 25014164 28587616 31267705 35734520 47348239 50028328 57175232 62535410 71469040 94696478 100056656 114350464 125070820 142938080 189392956 200113312 228700928 236741195 250141640 285876160 331437673 378785912 400226624 473482390 500283280 571752320 662875346 757571824 800453248 946964780 1000566560 1143504640 1325750692 1515143648 1600906496 1657188365 1893929560 2001133120 2651501384 3030287296 3314376730 3787859120 4002266240 5303002768 6060574592 6628753460 7575718240 8004532480 10606005536 12121149184 13257506920 15151436480 21212011072 26515013840 30302872960 42424022144 53030027680 60605745920 84848044288 106060055360 212120110720 424240221440