Search a number
-
+
400145211122520 = 23353334543426021
BaseRepresentation
bin101101011111011100001000…
…1001010101110001101011000
31221110210111201202121110002210
41122332320101022232031120
5404421434343021410040
63535012101113155120
7150166352233046553
oct13276702112561530
91843714652543083
10400145211122520
111065536a3a07266
1238a669a56bbaa0
13142376ba91b3a6
1470b51badb369a
15313da665ab480
hex16bee112ae358

400145211122520 has 32 divisors (see below), whose sum is σ = 1200435633367920. Its totient is φ = 106705389632640.

The previous prime is 400145211122483. The next prime is 400145211122521. The reversal of 400145211122520 is 25221112541004.

It is a super-2 number, since 2×4001452111225202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400145211122521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1667271712891 + ... + 1667271713130.

Almost surely, 2400145211122520 is an apocalyptic number.

400145211122520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400145211122520 is an abundant number, since it is smaller than the sum of its proper divisors (800290422245400).

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

400145211122520 is a wasteful number, since it uses less digits than its factorization.

400145211122520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334543426035 (or 3334543426031 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 400145211122520 its reverse (25221112541004), we get a palindrome (425366323663524).

The spelling of 400145211122520 in words is "four hundred trillion, one hundred forty-five billion, two hundred eleven million, one hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3334543426021 6669086852042 10003630278063 13338173704084 16672717130105 20007260556126 26676347408168 33345434260210 40014521112252 50018151390315 66690868520420 80029042224504 100036302780630 133381737040840 200072605561260 400145211122520