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14201010040 = 2357107473999
BaseRepresentation
bin11010011100111001…
…00011011101111000
31100122200201001111211
431032130203131320
5213040424310130
610305052532504
71011625410430
oct151634433570
940580631454
1014201010040
116028111038
122903a81134
13145415ab29
1498a07d2c0
15581adba2a
hex34e723778

14201010040 has 64 divisors (see below), whose sum is σ = 36858240000. Its totient is φ = 4823403648.

The previous prime is 14201010017. The next prime is 14201010041. The reversal of 14201010040 is 4001010241.

It is a self number, because there is not a number n which added to its sum of digits gives 14201010040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201010041) by changing a digit.

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, 207040 + ... + 266959.

It is an arithmetic number, because the mean of its divisors is an integer number (575910000).

Almost surely, 214201010040 is an apocalyptic number.

14201010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201010040 is an abundant number, since it is smaller than the sum of its proper divisors (22657229960).

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

14201010040 is a wasteful number, since it uses less digits than its factorization.

14201010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474124 (or 474120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14201010040 its reverse (4001010241), we get a palindrome (18202020281).

The spelling of 14201010040 in words is "fourteen billion, two hundred one million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960 473999 947998 1895996 2369995 3317993 3791992 4739990 6635986 9479980 13271972 16589965 18959960 26543944 33179930 50717893 66359860 101435786 132719720 202871572 253589465 355025251 405743144 507178930 710050502 1014357860 1420101004 1775126255 2028715720 2840202008 3550252510 7100505020 14201010040