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42120131334440 = 23513716374695269
BaseRepresentation
bin10011001001110110110110…
…11101110101000100101000
312112010122102101001221202112
421210323123131311010220
521010044012110200230
6225325415440421452
711605036056043325
oct1144733335650450
9175118371057675
1042120131334440
111246a058083535
1248831b6917888
131a66bb02ab183
14a588a78dbb4c
154d0994493d95
hex264edb775128

42120131334440 has 64 divisors (see below), whose sum is σ = 95520385069200. Its totient is φ = 16714853582848.

The previous prime is 42120131334313. The next prime is 42120131334467. The reversal of 42120131334440 is 4443313102124.

It can be written as a sum of positive squares in 8 ways, for example, as 20786614666756 + 21333516667684 = 4559234^2 + 4618822^2 .

It is a super-2 number, since 2×421201313344402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42120131334397 and 42120131334406.

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, 6623126 + ... + 11318394.

Almost surely, 242120131334440 is an apocalyptic number.

42120131334440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120131334440 is an abundant number, since it is smaller than the sum of its proper divisors (53400253734760).

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

42120131334440 is a wasteful number, since it uses less digits than its factorization.

42120131334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697054 (or 4697050 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42120131334440 its reverse (4443313102124), we get a palindrome (46563444436564).

The spelling of 42120131334440 in words is "forty-two trillion, one hundred twenty billion, one hundred thirty-one million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 1637 2740 3274 5480 6548 8185 13096 16370 32740 65480 224269 448538 897076 1121345 1794152 2242690 4485380 4695269 8970760 9390538 18781076 23476345 37562152 46952690 93905380 187810760 643251853 1286503706 2573007412 3216259265 5146014824 6432518530 7686155353 12865037060 15372310706 25730074120 30744621412 38430776765 61489242824 76861553530 153723107060 307446214120 1053003283361 2106006566722 4212013133444 5265016416805 8424026266888 10530032833610 21060065667220 42120131334440