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10434314420 = 2251515576203
BaseRepresentation
bin10011011011110111…
…10000000010110100
3222221012000002111122
421231323300002310
5132332141030140
64443215323112
7516400131515
oct115573600264
928835002448
1010434314420
114474997952
122032520498
13ca398475a
1470dadaa0c
1541109dab5
hex26def00b4

10434314420 has 48 divisors (see below), whose sum is σ = 22100335488. Its totient is φ = 4137974400.

The previous prime is 10434314381. The next prime is 10434314431. The reversal of 10434314420 is 2441343401.

10434314420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10434314420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1679039 + ... + 1685241.

It is an arithmetic number, because the mean of its divisors is an integer number (460423656).

Almost surely, 210434314420 is an apocalyptic number.

10434314420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434314420 is an abundant number, since it is smaller than the sum of its proper divisors (11666021068).

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

10434314420 is a wasteful number, since it uses less digits than its factorization.

10434314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10434314420 its reverse (2441343401), we get a palindrome (12875657821).

The spelling of 10434314420 in words is "ten billion, four hundred thirty-four million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 151 302 557 604 755 1114 1510 2228 2785 3020 5570 6203 11140 12406 24812 31015 62030 84107 124060 168214 336428 420535 841070 936653 1682140 1873306 3455071 3746612 4683265 6910142 9366530 13820284 17275355 18733060 34550710 69101420 521715721 1043431442 2086862884 2608578605 5217157210 10434314420