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34148446001 = 374347944809
BaseRepresentation
bin11111110011011001…
…111110111100110001
310021010212022210110022
4133303121332330301
51024414000233001
623404303413225
72316142000415
oct376331767461
9107125283408
1034148446001
11135339a89aa
1267502b4215
1332b2990287
14191d3a0d45
15d4ce2311b
hex7f367ef31

34148446001 has 16 divisors (see below), whose sum is σ = 35962713600. Its totient is φ = 32384354688.

The previous prime is 34148445959. The next prime is 34148446043. The reversal of 34148446001 is 10064484143.

It is an interprime number because it is at equal distance from previous prime (34148445959) and next prime (34148446043).

It is a cyclic number.

It is not a de Polignac number, because 34148446001 - 226 = 34081337137 is a prime.

It is a super-2 number, since 2×341484460012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34148448001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739685 + ... + 784493.

It is an arithmetic number, because the mean of its divisors is an integer number (2247669600).

Almost surely, 234148446001 is an apocalyptic number.

It is an amenable number.

34148446001 is a deficient number, since it is larger than the sum of its proper divisors (1814267599).

34148446001 is a wasteful number, since it uses less digits than its factorization.

34148446001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45368.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 34148446001 in words is "thirty-four billion, one hundred forty-eight million, four hundred forty-six thousand, one".

Divisors: 1 37 43 479 1591 17723 20597 44809 762089 1657933 1926787 21463511 71291119 794149907 922930973 34148446001