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42114411200 = 265226321507
BaseRepresentation
bin100111001110001101…
…101110101011000000
311000201000200202101102
4213032031232223000
51142222242124300
631202545553532
73020430405641
oct471615565300
9130630622342
1042114411200
111695153a514
1281b40458a8
133c82147a54
1420773296c8
1511674490d5
hex9ce36eac0

42114411200 has 42 divisors (see below), whose sum is σ = 103627776996. Its totient is φ = 16845763840.

The previous prime is 42114411197. The next prime is 42114411203. The reversal of 42114411200 is 211441124.

42114411200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42114411197) and next prime (42114411203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42114411203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13159154 + ... + 13162353.

Almost surely, 242114411200 is an apocalyptic number.

42114411200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114411200 is an abundant number, since it is smaller than the sum of its proper divisors (61513365796).

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

42114411200 is a wasteful number, since it uses less digits than its factorization.

42114411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26321529 (or 26321514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 42114411200 its reverse (211441124), we get a palindrome (42325852324).

The spelling of 42114411200 in words is "forty-two billion, one hundred fourteen million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 26321507 52643014 105286028 131607535 210572056 263215070 421144112 526430140 658037675 842288224 1052860280 1316075350 1684576448 2105720560 2632150700 4211441120 5264301400 8422882240 10528602800 21057205600 42114411200