Search a number
-
+
400332121220 = 225374991084147
BaseRepresentation
bin1011101001101011010…
…01110110010010000100
31102021022211111212122202
411310311221312102010
523024340010334340
6503524322414032
740631413612313
oct5646551662204
91367284455582
10400332121220
11144864055a49
1265706501318
132b99c3a4785
141553a33827a
15a630b4ec15
hex5d35a76484

400332121220 has 48 divisors (see below), whose sum is σ = 865150104000. Its totient is φ = 155492555904.

The previous prime is 400332121193. The next prime is 400332121237. The reversal of 400332121220 is 22121233004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400332121192 and 400332121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172814 + ... + 911333.

It is an arithmetic number, because the mean of its divisors is an integer number (18023960500).

Almost surely, 2400332121220 is an apocalyptic number.

It is an amenable number.

400332121220 is an abundant number, since it is smaller than the sum of its proper divisors (464817982780).

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

400332121220 is a wasteful number, since it uses less digits than its factorization.

400332121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084692 (or 1084690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 400332121220 its reverse (22121233004), we get a palindrome (422453354224).

The spelling of 400332121220 in words is "four hundred billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 499 740 998 1996 2495 4990 9980 18463 36926 73852 92315 184630 369260 1084147 2168294 4336588 5420735 10841470 21682940 40113439 80226878 160453756 200567195 401134390 540989353 802268780 1081978706 2163957412 2704946765 5409893530 10819787060 20016606061 40033212122 80066424244 100083030305 200166060610 400332121220