Search a number
-
+
10414130240 = 265107304151
BaseRepresentation
bin10011011001011101…
…10000010001000000
3222212210000122000102
421230232300101000
5132312004131430
64441214541532
7516033434513
oct115456602100
928783018012
1010414130240
114464561208
1220278078a8
13c9c738557
1470b164d7a
1540e413345
hex26cbb0440

10414130240 has 56 divisors (see below), whose sum is σ = 25030492992. Its totient is φ = 4126707200.

The previous prime is 10414130239. The next prime is 10414130263. The reversal of 10414130240 is 4203141401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117836 + ... + 186315.

Almost surely, 210414130240 is an apocalyptic number.

10414130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414130240 is an abundant number, since it is smaller than the sum of its proper divisors (14616362752).

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

10414130240 is a wasteful number, since it uses less digits than its factorization.

10414130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304275 (or 304265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10414130240 its reverse (4203141401), we get a palindrome (14617271641).

The spelling of 10414130240 in words is "ten billion, four hundred fourteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 304151 608302 1216604 1520755 2433208 3041510 4866416 6083020 9732832 12166040 19465664 24332080 32544157 48664160 65088314 97328320 130176628 162720785 260353256 325441570 520706512 650883140 1041413024 1301766280 2082826048 2603532560 5207065120 10414130240