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4146080324001 = 3711371074533569
BaseRepresentation
bin111100010101010101101…
…001010001100110100001
3112200100202110121001011120
4330111111221101212201
51020412133030332001
612452403310202453
7605354510163420
oct74252551214641
915610673531146
104146080324001
111359385289170
1256b655ab3429
13240c8729b185
141049582c92b7
1572cb08ce236
hex3c555a519a1

4146080324001 has 64 divisors (see below), whose sum is σ = 7144616171520. Its totient is φ = 2076011458560.

The previous prime is 4146080323963. The next prime is 4146080324003. The reversal of 4146080324001 is 1004230806414.

It is not a de Polignac number, because 4146080324001 - 210 = 4146080322977 is a prime.

It is a super-3 number, since 3×41460803240013 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4146080324003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352256 + ... + 3181313.

It is an arithmetic number, because the mean of its divisors is an integer number (111634627680).

Almost surely, 24146080324001 is an apocalyptic number.

It is an amenable number.

4146080324001 is a deficient number, since it is larger than the sum of its proper divisors (2998535847519).

4146080324001 is a wasteful number, since it uses less digits than its factorization.

4146080324001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533734.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 4146080324001 in words is "four trillion, one hundred forty-six billion, eighty million, three hundred twenty-four thousand, one".

Divisors: 1 3 7 11 21 33 37 77 107 111 231 259 321 407 749 777 1177 1221 2247 2849 3531 3959 8239 8547 11877 24717 27713 43549 83139 130647 304843 914529 4533569 13600707 31734983 49869259 95204949 149607777 167742053 349084813 485091883 503226159 1047254439 1174194371 1455275649 1845162583 3395643181 3522583113 5336010713 5535487749 10186929543 12916138081 16008032139 17948399671 37352074991 38748414243 53845199013 112056224973 125638797697 197432396381 376916393091 592297189143 1382026774667 4146080324001