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140012022414321 = 32619103124376621
BaseRepresentation
bin11111110101011100010110…
…110111000011101111110001
3200100202000111120112110121200
4133311130112313003233301
5121322424110214224241
61213440345105041413
741330351303105511
oct3765342667035761
9610660446473550
10140012022414321
1140680846602052
1213853327026269
1360181003c2525
142680891ca1841
15112c079bd84b6
hex7f5716dc3bf1

140012022414321 has 24 divisors (see below), whose sum is σ = 202762791666240. Its totient is φ = 93100162168800.

The previous prime is 140012022414167. The next prime is 140012022414371. The reversal of 140012022414321 is 123414220210041.

140012022414321 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 0 + 224 + 1 + 432 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-140012022414321 is a prime.

It is a super-2 number, since 2×1400120224143212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140012022414371) 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, 6444610 + ... + 17932011.

It is an arithmetic number, because the mean of its divisors is an integer number (8448449652760).

Almost surely, 2140012022414321 is an apocalyptic number.

It is an amenable number.

140012022414321 is a deficient number, since it is larger than the sum of its proper divisors (62750769251919).

140012022414321 is a wasteful number, since it uses less digits than its factorization.

140012022414321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24378277 (or 24378274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140012022414321 its reverse (123414220210041), we get a palindrome (263426242624362).

The spelling of 140012022414321 in words is "one hundred forty trillion, twelve billion, twenty-two million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 619 1031 1857 3093 5571 9279 638189 1914567 5743701 24376621 73129863 219389589 15089128399 25132296251 45267385197 75396888753 135802155591 226190666259 15556891379369 46670674138107 140012022414321