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50103141144400 = 24521011240176761
BaseRepresentation
bin10110110010001100010111…
…11011100001011101010000
320120101210222001102021110001
423121012023323201131100
523031342213113110100
6254321022034015344
713360555354610041
oct1331061373413520
9216353861367401
1050103141144400
1114a67693a984a3
1257523a8717554
1321c5923c35136
14c5300d8d28c8
155bd46ea1dd6a
hex2d918bee1750

50103141144400 has 60 divisors (see below), whose sum is σ = 121564606564764. Its totient is φ = 19842828160000.

The previous prime is 50103141144367. The next prime is 50103141144439. The reversal of 50103141144400 is 444114130105.

50103141144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21023840016 + 50082117304384 = 144996^2 + 7076872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620047981 + ... + 620128780.

Almost surely, 250103141144400 is an apocalyptic number.

50103141144400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50103141144400 is an abundant number, since it is smaller than the sum of its proper divisors (71461465420364).

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

50103141144400 is a wasteful number, since it uses less digits than its factorization.

50103141144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240176880 (or 1240176869 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 50103141144400 its reverse (444114130105), we get a palindrome (50547255274505).

The spelling of 50103141144400 in words is "fifty trillion, one hundred three billion, one hundred forty-one million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 1240176761 2480353522 4960707044 6200883805 9921414088 12401767610 19842828176 24803535220 31004419025 49607070440 62008838050 99214140880 124017676100 125257852861 248035352200 250515705722 496070704400 501031411444 626289264305 1002062822888 1252578528610 2004125645776 2505157057220 3131446321525 5010314114440 6262892643050 10020628228880 12525785286100 25051570572200 50103141144400