Search a number
-
+
1901144088 = 233341214673
BaseRepresentation
bin111000101010001…
…0010100000011000
311220111100010102000
41301110102200120
512343143102323
6512352041000
765053313064
oct16124224030
94814303360
101901144088
11896167768
12450833160
13243b4453c
141406c4aa4
15b1d86e43
hex71512818

1901144088 has 64 divisors (see below), whose sum is σ = 5409784800. Its totient is φ = 618255360.

The previous prime is 1901144087. The next prime is 1901144093. The reversal of 1901144088 is 8804411091.

It is a super-3 number, since 3×19011440883 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901144087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98481 + ... + 116192.

Almost surely, 21901144088 is an apocalyptic number.

1901144088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1901144088 is an abundant number, since it is smaller than the sum of its proper divisors (3508640712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1901144088 is a wasteful number, since it uses less digits than its factorization.

1901144088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214729 (or 214719 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1901144088 is about 43602.1110498104. Note that the first 3 decimals coincide. The cubic root of 1901144088 is about 1238.8108805025.

The spelling of 1901144088 in words is "one billion, nine hundred one million, one hundred forty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 214673 429346 644019 858692 1288038 1717384 1932057 2576076 3864114 5152152 5796171 7728228 8801593 11592342 15456456 17603186 23184684 26404779 35206372 46369368 52809558 70412744 79214337 105619116 158428674 211238232 237643011 316857348 475286022 633714696 950572044 1901144088