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240213401000 = 23531524115761
BaseRepresentation
bin1101111110110111010…
…1011001110110101000
3211222000212220010010122
43133231311121312220
512413424112313000
6302204050502412
723232466135106
oct3375565316650
9758025803118
10240213401000
1192968225601
123a67ab94a08
131986266b601
14b8aab5cc76
1563ada61085
hex37edd59da8

240213401000 has 64 divisors (see below), whose sum is σ = 562171905360. Its totient is φ = 96072960000.

The previous prime is 240213400961. The next prime is 240213401017. The reversal of 240213401000 is 104312042.

It can be written as a sum of positive squares in 8 ways, for example, as 37095530404 + 203117870596 = 192602^2 + 450686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 240213401000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15233120 + ... + 15248880.

Almost surely, 2240213401000 is an apocalyptic number.

240213401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240213401000 is an abundant number, since it is smaller than the sum of its proper divisors (321958504360).

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

240213401000 is a wasteful number, since it uses less digits than its factorization.

240213401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31023 (or 31009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 240213401000 its reverse (104312042), we get a palindrome (240317713042).

The spelling of 240213401000 in words is "two hundred forty billion, two hundred thirteen million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 15241 15761 30482 31522 60964 63044 76205 78805 121928 126088 152410 157610 304820 315220 381025 394025 609640 630440 762050 788050 1524100 1576100 1905125 1970125 3048200 3152200 3810250 3940250 7620500 7880500 15241000 15761000 240213401 480426802 960853604 1201067005 1921707208 2402134010 4804268020 6005335025 9608536040 12010670050 24021340100 30026675125 48042680200 60053350250 120106700500 240213401000