Search a number
-
+
401424252060051 = 331123735231539199
BaseRepresentation
bin101101101000101111101110…
…1111100101100000110010011
31221122022210011022210012201000
41123101133131330230012103
5410103413332011410201
63541431431111313043
7150360642116454663
oct13321373574540623
91848283138705630
10401424252060051
111069a70841a7620
123903286197b783
13142cb1b57351cc
14711b074b441a3
153161e7546dd86
hex16d17ddf2c193

401424252060051 has 128 divisors (see below), whose sum is σ = 687559901184000. Its totient is φ = 229082901822720.

The previous prime is 401424252060037. The next prime is 401424252060089. The reversal of 401424252060051 is 150060252424104.

401424252060051 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 4 + 25 + 20 + 600 + 5 + 1 = 666.

It is not a de Polignac number, because 401424252060051 - 217 = 401424251928979 is a prime.

It is a super-2 number, since 2×4014242520600512 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401424252059988 and 401424252060015.

It is not an unprimeable number, because it can be changed into a prime (401424251060051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260031150 + ... + 261570348.

It is an arithmetic number, because the mean of its divisors is an integer number (5371561728000).

Almost surely, 2401424252060051 is an apocalyptic number.

401424252060051 is a deficient number, since it is larger than the sum of its proper divisors (286135649123949).

401424252060051 is a wasteful number, since it uses less digits than its factorization.

401424252060051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539838 (or 1539832 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 401424252060051 in words is "four hundred one trillion, four hundred twenty-four billion, two hundred fifty-two million, sixty thousand, fifty-one".

Divisors: 1 3 9 11 23 27 33 69 73 99 207 219 253 297 523 621 657 759 803 1569 1679 1971 2277 2409 4707 5037 5753 6831 7227 12029 14121 15111 17259 18469 21681 36087 38179 45333 51777 55407 108261 114537 132319 155331 166221 324783 343611 396957 419969 498663 878117 1030833 1190871 1259907 1539199 2634351 3572613 3779721 4617597 7903053 9659287 11339163 13852791 16931189 23709159 28977861 35401577 41558373 50793567 86933583 106204731 112361527 152380701 260800749 318614193 337084581 389417347 457142103 805001077 955842579 1011253743 1168252041 1235976797 2415003231 2584315121 3033761229 3504756123 3707930391 7245009693 7752945363 8855011847 10514268369 11123791173 18515024771 21735029079 23258836089 26565035541 28427466331 33371373519 55545074313 58765078621 69776508267 79695106623 85282398993 166635222939 176295235863 203665272481 239085319869 255847196979 499905668817 528885707589 610995817443 646415864831 767541590937 1351596808283 1586657122767 1832987452329 1939247594493 4054790424849 5498962356987 5817742783479 12164371274547 14867564891113 17453228350437 36493113823641 44602694673339 133808084020017 401424252060051