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1010244040 = 2351317114281
BaseRepresentation
bin111100001101110…
…001100111001000
32121101221201021221
4330031301213020
54032110302130
6244125011424
734014634621
oct7415614710
92541851257
101010244040
11479290333
122423b3b74
131313b5b50
1498256a48
155da5687a
hex3c3719c8

1010244040 has 64 divisors (see below), whose sum is σ = 2591915760. Its totient is φ = 351068160.

The previous prime is 1010244013. The next prime is 1010244071. The reversal of 1010244040 is 404420101.

1010244040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 450543076 + 559700964 = 21226^2 + 23658^2 .

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, 48301 + ... + 65980.

Almost surely, 21010244040 is an apocalyptic number.

1010244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010244040 is an abundant number, since it is smaller than the sum of its proper divisors (1581671720).

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

1010244040 is a wasteful number, since it uses less digits than its factorization.

1010244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114322 (or 114318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1010244040 is about 31784.3363938906. The cubic root of 1010244040 is about 1003.4030858695.

Adding to 1010244040 its reverse (404420101), we get a palindrome (1414664141).

The spelling of 1010244040 in words is "one billion, ten million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 114281 228562 457124 571405 914248 1142810 1485653 1942777 2285620 2971306 3885554 4571240 5942612 7428265 7771108 9713885 11885224 14856530 15542216 19427770 25256101 29713060 38855540 50512202 59426120 77711080 101024404 126280505 202048808 252561010 505122020 1010244040