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10145311240 = 235433585757
BaseRepresentation
bin10010111001011010…
…10010101000001000
3222012001012012200011
421130231102220020
5131234144424430
64354413121304
7506260502611
oct113455225010
928161165604
1010145311240
114336844549
121b71789234
13c58b3715c
146c358ac08
153e5a1322a
hex25cb52a08

10145311240 has 32 divisors (see below), whose sum is σ = 22879707480. Its totient is φ = 4048745472.

The previous prime is 10145311181. The next prime is 10145311243. The reversal of 10145311240 is 4211354101.

It can be written as a sum of positive squares in 4 ways, for example, as 7655900004 + 2489411236 = 87498^2 + 49894^2 .

It is not an unprimeable number, because it can be changed into a prime (10145311243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275559 + ... + 310198.

Almost surely, 210145311240 is an apocalyptic number.

10145311240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145311240 is an abundant number, since it is smaller than the sum of its proper divisors (12734396240).

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

10145311240 is a wasteful number, since it uses less digits than its factorization.

10145311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586201 (or 586197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10145311240 its reverse (4211354101), we get a palindrome (14356665341).

The spelling of 10145311240 in words is "ten billion, one hundred forty-five million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 433 866 1732 2165 3464 4330 8660 17320 585757 1171514 2343028 2928785 4686056 5857570 11715140 23430280 253632781 507265562 1014531124 1268163905 2029062248 2536327810 5072655620 10145311240