Search a number
-
+
4024000540161 = 337499271315727
BaseRepresentation
bin111010100011101001000…
…111110110111000000001
3112020200122111221110121000
4322203221013312320001
51011412123114241121
612320333400522213
7563503325143320
oct72435107667001
915220574843530
104024000540161
111311629443728
1254ba65780369
132326002538a4
14dca96a7a0b7
156ea18056526
hex3a8e91f6e01

4024000540161 has 64 divisors (see below), whose sum is σ = 6829726720000. Its totient is φ = 2293829083008.

The previous prime is 4024000540139. The next prime is 4024000540169. The reversal of 4024000540161 is 1610450004204.

4024000540161 is a `hidden beast` number, since 40 + 24 + 0 + 0 + 0 + 540 + 1 + 61 = 666.

4024000540161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4024000540161 - 211 = 4024000538113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4024000540169) 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, 255857880 + ... + 255873606.

It is an arithmetic number, because the mean of its divisors is an integer number (106714480000).

Almost surely, 24024000540161 is an apocalyptic number.

It is an amenable number.

4024000540161 is a deficient number, since it is larger than the sum of its proper divisors (2805726179839).

4024000540161 is a wasteful number, since it uses less digits than its factorization.

4024000540161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4024000540161 its reverse (1610450004204), we get a palindrome (5634450544365).

The spelling of 4024000540161 in words is "four trillion, twenty-four billion, five hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 189 499 1497 2713 3493 4491 8139 10479 13473 15727 18991 24417 31437 47181 56973 73251 94311 110089 141543 170919 330267 424629 512757 990801 1353787 2972403 4061361 7847773 9476509 12184083 23543319 28429527 36552249 42667351 54934411 70629957 85288581 128002053 164803233 211889871 255865743 298671457 384006159 494409699 896014371 1152018477 1483229097 2688043113 8064129339 21291008149 63873024447 149037057043 191619073341 447111171129 574857220023 1341333513387 4024000540161