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10142440040 = 2351714915353
BaseRepresentation
bin10010111001000100…
…10101101001101000
3222011211210100010102
421130202111221220
5131232431040130
64354231404532
7506224214015
oct113442255150
928154710112
1010142440040
114335163357
121b70823748
13c58370315
146c304070c
153e5647645
hex25c895a68

10142440040 has 32 divisors (see below), whose sum is σ = 24162873480. Its totient is φ = 3818330112.

The previous prime is 10142440031. The next prime is 10142440069. The reversal of 10142440040 is 4004424101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8160231556 + 1982208484 = 90334^2 + 44522^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10142439994 and 10142440021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7456997 + ... + 7458356.

Almost surely, 210142440040 is an apocalyptic number.

10142440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142440040 is an abundant number, since it is smaller than the sum of its proper divisors (14020433440).

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

10142440040 is a wasteful number, since it uses less digits than its factorization.

10142440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915381 (or 14915377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10142440040 its reverse (4004424101), we get a palindrome (14146864141).

The spelling of 10142440040 in words is "ten billion, one hundred forty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14915353 29830706 59661412 74576765 119322824 149153530 253561001 298307060 507122002 596614120 1014244004 1267805005 2028488008 2535610010 5071220020 10142440040