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10420303344 = 2431133735851
BaseRepresentation
bin10011011010001100…
…10011010111110000
3222220012122020220220
421231012103113300
5132320044201334
64441555133040
7516140055063
oct115506232760
928805566826
1010420303344
114467a98150
1220298a4180
13ca0aba289
1470bcd08da
1540ec32449
hex26d1935f0

10420303344 has 80 divisors (see below), whose sum is σ = 29380036224. Its totient is φ = 3156192000.

The previous prime is 10420303343. The next prime is 10420303379. The reversal of 10420303344 is 44330302401.

10420303344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420303343) by changing a digit.

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, 1778019 + ... + 1783869.

Almost surely, 210420303344 is an apocalyptic number.

It is an amenable number.

10420303344 is an abundant number, since it is smaller than the sum of its proper divisors (18959732880).

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

10420303344 is a wasteful number, since it uses less digits than its factorization.

10420303344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10420303344 its reverse (44330302401), we get a palindrome (54750605745).

The spelling of 10420303344 in words is "ten billion, four hundred twenty million, three hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3373 5851 6746 10119 11702 13492 17553 20238 23404 26984 35106 37103 40476 46808 53968 64361 70212 74206 80952 93616 111309 128722 140424 148412 161904 193083 222618 257444 280848 296824 386166 445236 514888 593648 772332 890472 1029776 1544664 1780944 3089328 19735423 39470846 59206269 78941692 118412538 157883384 217089653 236825076 315766768 434179306 473650152 651268959 868358612 947300304 1302537918 1736717224 2605075836 3473434448 5210151672 10420303344