Search a number
-
+
401440101000 = 23353133813367
BaseRepresentation
bin1011101011101111011…
…00011101001010001000
31102101012001101002011220
411311313230131022020
523034122131213000
6504230302322040
741001026362131
oct5656754351210
91371161332156
10401440101000
11145282520614
1265975589320
132bb17aba603
1415603552c88
15a6980601a0
hex5d77b1d288

401440101000 has 64 divisors (see below), whose sum is σ = 1252493124480. Its totient is φ = 107050692800.

The previous prime is 401440100951. The next prime is 401440101001. The reversal of 401440101000 is 101044104.

It is a super-2 number, since 2×4014401010002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (401440101001) 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, 66903684 + ... + 66909683.

It is an arithmetic number, because the mean of its divisors is an integer number (19570205070).

Almost surely, 2401440101000 is an apocalyptic number.

401440101000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401440101000 is an abundant number, since it is smaller than the sum of its proper divisors (851053023480).

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

401440101000 is a wasteful number, since it uses less digits than its factorization.

401440101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133813391 (or 133813377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 401440101000 its reverse (101044104), we get a palindrome (401541145104).

The spelling of 401440101000 in words is "four hundred one billion, four hundred forty million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 133813367 267626734 401440101 535253468 669066835 802880202 1070506936 1338133670 1605760404 2007200505 2676267340 3211520808 3345334175 4014401010 5352534680 6690668350 8028802020 10036002525 13381336700 16057604040 16726670875 20072005050 26762673400 33453341750 40144010100 50180012625 66906683500 80288020200 100360025250 133813367000 200720050500 401440101000