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1457444142 = 2327211150221
BaseRepresentation
bin101011011011110…
…1101010100101110
310202120102211111200
41112313231110232
510441101203032
6400342030330
751055033200
oct12667552456
93676384450
101457444142
116887643a0
123481183a6
131a2c422ab
14db7c6770
1587e4047c
hex56ded52e

1457444142 has 72 divisors (see below), whose sum is σ = 4007322072. Its totient is φ = 378554400.

The previous prime is 1457444141. The next prime is 1457444143. The reversal of 1457444142 is 2414447541.

1457444142 is a `hidden beast` number, since 1 + 4 + 574 + 4 + 41 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (1457444141) and next prime (1457444143).

It is a junction number, because it is equal to n+sod(n) for n = 1457444097 and 1457444106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457444141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65409 + ... + 84812.

It is an arithmetic number, because the mean of its divisors is an integer number (55657251).

Almost surely, 21457444142 is an apocalyptic number.

1457444142 is an abundant number, since it is smaller than the sum of its proper divisors (2549877930).

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

1457444142 is a wasteful number, since it uses less digits than its factorization.

1457444142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150254 (or 150244 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 1457444142 is about 38176.4867686905. The cubic root of 1457444142 is about 1133.7848242852.

The spelling of 1457444142 in words is "one billion, four hundred fifty-seven million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 150221 300442 450663 901326 1051547 1351989 1652431 2103094 2703978 3154641 3304862 4957293 6309282 7360829 9463923 9914586 11567017 14721658 14871879 18927846 22082487 23134034 29743758 34701051 44164974 66247461 69402102 80969119 104103153 132494922 161938238 208206306 242907357 485814714 728722071 1457444142