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42400303440 = 24351116060721
BaseRepresentation
bin100111011111010000…
…010100100101010000
311001102221122120210220
4213133100110211100
51143313434202230
631251201353040
73030501430005
oct473720244520
9131387576726
1042400303440
1116a889585a0
128273938780
133cc9446361
1420a32a98ac
1511825bcd10
hex9df414950

42400303440 has 80 divisors (see below), whose sum is σ = 143390126016. Its totient is φ = 10278860800.

The previous prime is 42400303433. The next prime is 42400303453. The reversal of 42400303440 is 4430300424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 42400303440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027721 + ... + 8033000.

Almost surely, 242400303440 is an apocalyptic number.

42400303440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400303440 is an abundant number, since it is smaller than the sum of its proper divisors (100989822576).

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

42400303440 is a wasteful number, since it uses less digits than its factorization.

42400303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16060748 (or 16060742 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42400303440 its reverse (4430300424), we get a palindrome (46830603864).

The spelling of 42400303440 in words is "forty-two billion, four hundred million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 16060721 32121442 48182163 64242884 80303605 96364326 128485768 160607210 176667931 192728652 240910815 256971536 321214420 353335862 385457304 481821630 530003793 642428840 706671724 770914608 883339655 963643260 1060007586 1284857680 1413343448 1766679310 1927286520 2120015172 2650018965 2826686896 3533358620 3854573040 4240030344 5300037930 7066717240 8480060688 10600075860 14133434480 21200151720 42400303440