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1140202330141 = 72293721686333
BaseRepresentation
bin10000100101111001010…
…110101101100000011101
311001000001122211202000011
4100211321112231200131
5122140113244031031
62231445101003221
7145243163616100
oct20457126554035
94030048752004
101140202330141
113aa614543726
12164b8b553511
138369ca4c5c4
143d2868a2737
151e9d51026b1
hex109795ad81d

1140202330141 has 24 divisors (see below), whose sum is σ = 1409177983320. Its totient is φ = 918112551552.

The previous prime is 1140202330087. The next prime is 1140202330147. The reversal of 1140202330141 is 1410332020411.

It can be written as a sum of positive squares in 4 ways, for example, as 512548605625 + 627653724516 = 715925^2 + 792246^2 .

It is not a de Polignac number, because 1140202330141 - 221 = 1140200232989 is a prime.

It is a super-2 number, since 2×11402023301412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140202330147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10790590 + ... + 10895743.

It is an arithmetic number, because the mean of its divisors is an integer number (58715749305).

Almost surely, 21140202330141 is an apocalyptic number.

It is an amenable number.

1140202330141 is a deficient number, since it is larger than the sum of its proper divisors (268975653179).

1140202330141 is a wasteful number, since it uses less digits than its factorization.

1140202330141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21686413 (or 21686406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1140202330141 its reverse (1410332020411), we get a palindrome (2550534350552).

The spelling of 1140202330141 in words is "one trillion, one hundred forty billion, two hundred two million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 7 29 37 49 203 259 1073 1421 1813 7511 52577 21686333 151804331 628903657 802394321 1062630317 4402325599 5616760247 23269435309 30816279193 39317321729 162886047163 1140202330141