Search a number
-
+
400134402200 = 235213229672043
BaseRepresentation
bin1011101001010011101…
…11100111000010011000
31102020211001110201011002
411310221313213002120
523023433401332300
6503452540524132
740623463205111
oct5645167470230
91366731421132
10400134402200
111447724907a5
1265670250648
132b96a438780
141551bd8b208
15a61d5e65d5
hex5d29de7098

400134402200 has 96 divisors (see below), whose sum is σ = 1006251481200. Its totient is φ = 147096552960.

The previous prime is 400134402131. The next prime is 400134402221. The reversal of 400134402200 is 2204431004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259379 + ... + 931421.

Almost surely, 2400134402200 is an apocalyptic number.

400134402200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400134402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503125740600).

400134402200 is an abundant number, since it is smaller than the sum of its proper divisors (606117079000).

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

400134402200 is a wasteful number, since it uses less digits than its factorization.

400134402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672301 (or 672292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 400134402200 its reverse (2204431004), we get a palindrome (402338833204).

The spelling of 400134402200 in words is "four hundred billion, one hundred thirty-four million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 229 260 325 458 520 650 916 1145 1300 1832 2290 2600 2977 4580 5725 5954 9160 11450 11908 14885 22900 23816 29770 45800 59540 74425 119080 148850 297700 595400 672043 1344086 2688172 3360215 5376344 6720430 8736559 13440860 16801075 17473118 26881720 33602150 34946236 43682795 67204300 69892472 87365590 134408600 153897847 174731180 218413975 307795694 349462360 436827950 615591388 769489235 873655900 1231182776 1538978470 1747311800 2000672011 3077956940 3847446175 4001344022 6155913880 7694892350 8002688044 10003360055 15389784700 16005376088 20006720110 30779569400 40013440220 50016800275 80026880440 100033600550 200067201100 400134402200