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10401104144 = 245361201073
BaseRepresentation
bin10011010111111010…
…00100000100010000
3222211212111211120102
421223331010010100
5132300140313034
64440031431532
7515514632534
oct115375040420
928755454512
1010401104144
114458174542
1220233855a8
13c99b274c2
14709533bc4
1540d1dd97e
hex26bf44110

10401104144 has 40 divisors (see below), whose sum is σ = 20869068312. Its totient is φ = 5018757120.

The previous prime is 10401104143. The next prime is 10401104179. The reversal of 10401104144 is 44140110401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 378691600 + 10022412544 = 19460^2 + 100112^2 .

It is not an unprimeable number, because it can be changed into a prime (10401104143) 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, 48809 + ... + 152264.

Almost surely, 210401104144 is an apocalyptic number.

It is an amenable number.

10401104144 is an abundant number, since it is smaller than the sum of its proper divisors (10467964168).

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

10401104144 is a wasteful number, since it uses less digits than its factorization.

10401104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201195 (or 201189 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10401104144 its reverse (44140110401), we get a palindrome (54541214545).

The spelling of 10401104144 in words is "ten billion, four hundred one million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 53 61 106 122 212 244 424 488 848 976 3233 6466 12932 25864 51728 201073 402146 804292 1608584 3217168 10656869 12265453 21313738 24530906 42627476 49061812 85254952 98123624 170509904 196247248 650069009 1300138018 2600276036 5200552072 10401104144