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140001323100041 = 13223367183171867
BaseRepresentation
bin11111110101010010011001…
…001000011010011110001001
3200100200222212220212222122102
4133311102121020122132021
5121322240202203200131
61213431415301403145
741326522204326434
oct3765223110323611
9610628786788572
10140001323100041
1140677256076957
121385123ba094b5
1360170b6875b30
142680158d0281b
15112bb507411cb
hex7f549921a789

140001323100041 has 32 divisors (see below), whose sum is σ = 151944470888448. Its totient is φ = 128230066854720.

The previous prime is 140001323100007. The next prime is 140001323100047.

140001323100041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140001323100041 is a prime.

It is a super-3 number, since 3×1400013231000413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140001323099986 and 140001323100022.

It is not an unprimeable number, because it can be changed into a prime (140001323100047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948025390 + ... + 1948097256.

It is an arithmetic number, because the mean of its divisors is an integer number (4748264715264).

Almost surely, 2140001323100041 is an apocalyptic number.

It is an amenable number.

140001323100041 is a deficient number, since it is larger than the sum of its proper divisors (11943147788407).

140001323100041 is a wasteful number, since it uses less digits than its factorization.

140001323100041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74301.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 140001323100041 in words is "one hundred forty trillion, one billion, three hundred twenty-three million, one hundred thousand, forty-one".

Divisors: 1 13 223 367 1831 2899 4771 23803 71867 81841 408313 671977 934271 1063933 5308069 8735701 16026341 26375189 131588477 149850871 208342433 342877457 1710650201 1948061323 5881667147 29344230371 48292971059 76461672911 381474994823 627808623767 10769332546157 140001323100041