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42301432111240 = 23515758671148099
BaseRepresentation
bin10011001111001000100011…
…10101011010000010001000
312112202222101112110200022201
421213210101311122002020
521021031313110024430
6225545002025325544
711624114631160531
oct1147442165320210
9175688345420281
1042301432111240
1112529a336a3565
1248b23740368b4
131a7b014570123
14a6358637b688
154d5555e928ca
hex267911d5a088

42301432111240 has 64 divisors (see below), whose sum is σ = 95800862376000. Its totient is φ = 16809918198528.

The previous prime is 42301432111223. The next prime is 42301432111327. The reversal of 42301432111240 is 4211123410324.

It is a happy number.

It is a super-2 number, since 2×423014321112402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42301432111199 and 42301432111208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36270711 + ... + 37418809.

It is an arithmetic number, because the mean of its divisors is an integer number (1496888474625).

Almost surely, 242301432111240 is an apocalyptic number.

42301432111240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42301432111240 is an abundant number, since it is smaller than the sum of its proper divisors (53499430264760).

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

42301432111240 is a wasteful number, since it uses less digits than its factorization.

42301432111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154134 (or 1154130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42301432111240 its reverse (4211123410324), we get a palindrome (46512555521564).

The spelling of 42301432111240 in words is "forty-two trillion, three hundred one billion, four hundred thirty-two million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 5867 6280 11734 23468 29335 46936 58670 117340 234680 921119 1148099 1842238 2296198 3684476 4592396 4605595 5740495 7368952 9184792 9211190 11480990 18422380 22961980 36844760 45923960 180251543 360503086 721006172 901257715 1442012344 1802515430 3605030860 6735896833 7210061720 13471793666 26943587332 33679484165 53887174664 67358968330 134717936660 269435873320 1057535802781 2115071605562 4230143211124 5287679013905 8460286422248 10575358027810 21150716055620 42301432111240