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400340441140 = 225509388110133
BaseRepresentation
bin1011101001101100010…
…01100101100000110100
31102021100102011120102221
411310312021211200310
523024344123104030
6503525221012124
740631544413533
oct5646611454064
91367312146387
10400340441140
11144868818912
1265709254044
132b9a10286c3
141553b4a231a
15a631744e7a
hex5d36265834

400340441140 has 48 divisors (see below), whose sum is σ = 842666826960. Its totient is φ = 159764618240.

The previous prime is 400340441119. The next prime is 400340441143. The reversal of 400340441140 is 41144043004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41139197584 + 359201243556 = 202828^2 + 599334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400340441143) 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, 39503514 + ... + 39513646.

It is an arithmetic number, because the mean of its divisors is an integer number (17555558895).

Almost surely, 2400340441140 is an apocalyptic number.

It is an amenable number.

400340441140 is an abundant number, since it is smaller than the sum of its proper divisors (442326385820).

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

400340441140 is a wasteful number, since it uses less digits than its factorization.

400340441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14532 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 400340441140 its reverse (41144043004), we get a palindrome (441484484144).

The spelling of 400340441140 in words is "four hundred billion, three hundred forty million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 3881 5090 7762 10133 10180 15524 19405 20266 38810 40532 50665 77620 101330 202660 1975429 3950858 5157697 7901716 9877145 10315394 19754290 20630788 25788485 39326173 39508580 51576970 78652346 103153940 157304692 196630865 393261730 786523460 20017022057 40034044114 80068088228 100085110285 200170220570 400340441140