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1141402142432 = 25172909721267
BaseRepresentation
bin10000100111000000110…
…111101000011011100000
311001010011021111112001102
4100213000313220123200
5122200042422024212
62232204121053532
7145315003063106
oct20470067503340
94033137445042
101141402142432
1140007a831432
121652653272a8
13838314a94c6
143d35bd83c76
151ea556025c2
hex109c0de86e0

1141402142432 has 48 divisors (see below), whose sum is σ = 2380141123920. Its totient is φ = 536945031168.

The previous prime is 1141402142417. The next prime is 1141402142437. The reversal of 1141402142432 is 2342412041411.

It is a super-2 number, since 2×11414021424322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141402142395 and 1141402142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141402142437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221863 + ... + 1943129.

It is an arithmetic number, because the mean of its divisors is an integer number (49586273415).

Almost surely, 21141402142432 is an apocalyptic number.

It is an amenable number.

1141402142432 is an abundant number, since it is smaller than the sum of its proper divisors (1238738981488).

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

1141402142432 is a wasteful number, since it uses less digits than its factorization.

1141402142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724203 (or 724195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1141402142432 its reverse (2342412041411), we get a palindrome (3483814183843).

The spelling of 1141402142432 in words is "one trillion, one hundred forty-one billion, four hundred two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2909 5818 11636 23272 46544 49453 93088 98906 197812 395624 721267 791248 1442534 1582496 2885068 5770136 11540272 12261539 23080544 24523078 49046156 98092312 196184624 392369248 2098165703 4196331406 8392662812 16785325624 33570651248 35668816951 67141302496 71337633902 142675267804 285350535608 570701071216 1141402142432