Search a number
-
+
400143541154440 = 235156291729337013
BaseRepresentation
bin101101011111011011010110…
…1101000010011001010001000
31221110210100102101021021120011
41122332312231220103022020
5404421422433013420230
63535011223300041304
7150166262654415136
oct13276665550231210
91843710371237504
10400143541154440
11106552a17296556
1238a665ba393234
13142374b29584b5
1470b509d2a8756
15313d9b9b8ae2a
hex16bedada13288

400143541154440 has 64 divisors (see below), whose sum is σ = 900456967177200. Its totient is φ = 160033596552192.

The previous prime is 400143541154327. The next prime is 400143541154443. The reversal of 400143541154440 is 44451145341004.

It can be written as a sum of positive squares in 8 ways, for example, as 207633632612004 + 192509908542436 = 14409498^2 + 13874794^2 .

It is a super-2 number, since 2×4001435411544402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 400143541154393 and 400143541154402.

It is not an unprimeable number, because it can be changed into a prime (400143541154443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10810873374 + ... + 10810910386.

Almost surely, 2400143541154440 is an apocalyptic number.

400143541154440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400143541154440 is an abundant number, since it is smaller than the sum of its proper divisors (500313426022760).

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

400143541154440 is a wasteful number, since it uses less digits than its factorization.

400143541154440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69946 (or 69942 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 400143541154440 its reverse (44451145341004), we get a palindrome (444594686495444).

The spelling of 400143541154440 in words is "four hundred trillion, one hundred forty-three billion, five hundred forty-one million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 15629 17293 31258 34586 37013 62516 69172 74026 78145 86465 125032 138344 148052 156290 172930 185065 296104 312580 345860 370130 625160 691720 740260 1480520 270272297 540544594 578476177 640065809 1081089188 1156952354 1280131618 1351361485 2162178376 2313904708 2560263236 2702722970 2892380885 3200329045 4627809416 5120526472 5405445940 5784761770 6400658090 10810891880 11569523540 12801316180 23139047080 25602632360 10003588528861 20007177057722 40014354115444 50017942644305 80028708230888 100035885288610 200071770577220 400143541154440