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400040424200 = 235267127235069
BaseRepresentation
bin1011101001001000100…
…01000111001100001000
31102020120111122010120102
411310210101013030020
523023240322033300
6503435342344532
740621242333554
oct5644421071410
91366514563512
10400040424200
1114472443272a
126564488b148
132b953b22ca1
141550d6c6864
15a6152310d5
hex5d24447308

400040424200 has 96 divisors (see below), whose sum is σ = 951412915200. Its totient is φ = 156386039040.

The previous prime is 400040424187. The next prime is 400040424221. The reversal of 400040424200 is 2424040004.

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

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, 1584266 + ... + 1819334.

It is an arithmetic number, because the mean of its divisors is an integer number (9910551200).

Almost surely, 2400040424200 is an apocalyptic number.

400040424200 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 400040424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475706457600).

400040424200 is an abundant number, since it is smaller than the sum of its proper divisors (551372491000).

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

400040424200 is a wasteful number, since it uses less digits than its factorization.

400040424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235279 (or 235270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400040424200 its reverse (2424040004), we get a palindrome (402464464204).

The spelling of 400040424200 in words is "four hundred billion, forty million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 127 134 200 254 268 335 508 536 635 670 1016 1270 1340 1675 2540 2680 3175 3350 5080 6350 6700 8509 12700 13400 17018 25400 34036 42545 68072 85090 170180 212725 235069 340360 425450 470138 850900 940276 1175345 1701800 1880552 2350690 4701380 5876725 9402760 11753450 15749623 23506900 29853763 31499246 47013800 59707526 62998492 78748115 119415052 125996984 149268815 157496230 238830104 298537630 314992460 393740575 597075260 629984920 746344075 787481150 1194150520 1492688150 1574962300 2000202121 2985376300 3149924600 4000404242 5970752600 8000808484 10001010605 16001616968 20002021210 40004042420 50005053025 80008084840 100010106050 200020212100 400040424200