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400032423240 = 23357965364621
BaseRepresentation
bin1011101001000111100…
…10100101110101001000
31102020112221120122022120
411310203302211311020
523023231300020430
6503434455051240
740621114331262
oct5644362456510
91366487518276
10400032423240
1114471a96846a
1265642070b20
132b9522812a8
141550c602b32
15a6146a0610
hex5d23ca5d48

400032423240 has 128 divisors (see below), whose sum is σ = 1217168294400. Its totient is φ = 105162071040.

The previous prime is 400032423229. The next prime is 400032423283. The reversal of 400032423240 is 42324230004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400032423240.

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 31 ways as a sum of consecutive naturals, for example, 6158130 + ... + 6222750.

It is an arithmetic number, because the mean of its divisors is an integer number (9509127300).

Almost surely, 2400032423240 is an apocalyptic number.

400032423240 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 400032423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608584147200).

400032423240 is an abundant number, since it is smaller than the sum of its proper divisors (817135871160).

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

400032423240 is a wasteful number, since it uses less digits than its factorization.

400032423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65367 (or 65363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 400032423240 its reverse (42324230004), we get a palindrome (442356653244).

The spelling of 400032423240 in words is "four hundred billion, thirty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 653 790 948 1185 1306 1580 1896 1959 2370 2612 3160 3265 3918 4740 5224 6530 7836 9480 9795 13060 15672 19590 26120 39180 51587 64621 78360 103174 129242 154761 193863 206348 257935 258484 309522 323105 387726 412696 515870 516968 619044 646210 773805 775452 969315 1031740 1238088 1292420 1547610 1550904 1938630 2063480 2584840 3095220 3877260 5105059 6190440 7754520 10210118 15315177 20420236 25525295 30630354 40840472 42197513 51050590 61260708 76575885 84395026 102101180 122521416 126592539 153151770 168790052 204202360 210987565 253185078 306303540 337580104 421975130 506370156 612607080 632962695 843950260 1012740312 1265925390 1687900520 2531850780 3333603527 5063701560 6667207054 10000810581 13334414108 16668017635 20001621162 26668828216 33336035270 40003242324 50004052905 66672070540 80006484648 100008105810 133344141080 200016211620 400032423240