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4242014014420 = 2257213332968133
BaseRepresentation
bin111101101110101011101…
…111010000101111010100
3120000112101020202110022201
4331232223233100233110
51024000121041430140
613004430534134244
7615322030122100
oct75565357205724
916015336673281
104242014014420
11139603435a736
12586169ab1384
1324a035510370
14109459294900
1575527b4649a
hex3dbabbd0bd4

4242014014420 has 72 divisors (see below), whose sum is σ = 11159759979144. Its totient is φ = 1342527508224.

The previous prime is 4242014014393. The next prime is 4242014014421. The reversal of 4242014014420 is 244104102424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 238101057936 + 4003912956484 = 487956^2 + 2000978^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242014014421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166471327 + ... + 166496806.

It is an arithmetic number, because the mean of its divisors is an integer number (154996666377).

Almost surely, 24242014014420 is an apocalyptic number.

It is an amenable number.

4242014014420 is an abundant number, since it is smaller than the sum of its proper divisors (6917745964724).

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

4242014014420 is a wasteful number, since it uses less digits than its factorization.

4242014014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332968169 (or 332968160 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4242014014420 its reverse (244104102424), we get a palindrome (4486118116844).

The spelling of 4242014014420 in words is "four trillion, two hundred forty-two billion, fourteen million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 332968133 665936266 1331872532 1664840665 2330776931 3329681330 4328585729 4661553862 6659362660 8657171458 9323107724 11653884655 16315438517 17314342916 21642928645 23307769310 30300100103 32630877034 43285857290 46615538620 60600200206 65261754068 81577192585 86571714580 121200400412 151500500515 163154385170 212100700721 303001001030 326308770340 424201401442 606002002060 848402802884 1060503503605 2121007007210 4242014014420