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141021133144400 = 24521720738401933
BaseRepresentation
bin100000000100001000001010…
…100011000000000101010000
3200111022111012020101221020002
4200010020022203000011100
5121440442240041110100
61215532114134105132
741463304066561025
oct4004101243000520
9614274166357202
10141021133144400
1140a2a7aa279333
1213996a101ab1a8
13608c30b06aac2
1426b766030554c
15114843b2002d5
hex80420a8c0150

141021133144400 has 60 divisors (see below), whose sum is σ = 358732876654332. Its totient is φ = 53090308945920.

The previous prime is 141021133144387. The next prime is 141021133144421. The reversal of 141021133144400 is 4441331120141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10365077226256 + 130656055918144 = 3219484^2 + 11430488^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10369194167 + ... + 10369207766.

Almost surely, 2141021133144400 is an apocalyptic number.

141021133144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141021133144400 is an abundant number, since it is smaller than the sum of its proper divisors (217711743509932).

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

141021133144400 is a wasteful number, since it uses less digits than its factorization.

141021133144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738401968 (or 20738401957 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 141021133144400 its reverse (4441331120141), we get a palindrome (145462464264541).

The spelling of 141021133144400 in words is "one hundred forty-one trillion, twenty-one billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 20738401933 41476803866 82953607732 103692009665 165907215464 207384019330 331814430928 352552832861 414768038660 518460048325 705105665722 829536077320 1036920096650 1410211331444 1659072154640 1762764164305 2073840193300 2820422662888 3525528328610 4147680386600 5640845325776 7051056657220 8295360773200 8813820821525 14102113314440 17627641643050 28204226628880 35255283286100 70510566572200 141021133144400