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142498816 = 21031672
BaseRepresentation
bin10000111111001…
…01110000000000
3100221010200121221
420133211300000
5242434430231
622050124424
73350135305
oct1037456000
9327120557
10142498816
1173489519
123b880714
13236a3835
1414cd50ac
15c79bd11
hex87e5c00

142498816 has 66 divisors (see below), whose sum is σ = 298501728. Its totient is φ = 67921920.

The previous prime is 142498813. The next prime is 142498819. The reversal of 142498816 is 618894241.

142498816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142498813) and next prime (142498819).

It is a super-2 number, since 2×1424988162 = 40611825122803712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142498813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2126815 + ... + 2126881.

Almost surely, 2142498816 is an apocalyptic number.

142498816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250864).

142498816 is an abundant number, since it is smaller than the sum of its proper divisors (156002912).

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

142498816 is an frugal number, since it uses more digits than its factorization.

142498816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 100 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 142498816 is about 11937.2867939076. The cubic root of 142498816 is about 522.3205167891.

The spelling of 142498816 in words is "one hundred forty-two million, four hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 512 536 992 1024 1072 1984 2077 2144 3968 4154 4288 4489 7936 8308 8576 8978 15872 16616 17152 17956 31744 33232 34304 35912 66464 68608 71824 132928 139159 143648 265856 278318 287296 531712 556636 574592 1063424 1113272 1149184 2126848 2226544 2298368 4453088 4596736 8906176 17812352 35624704 71249408 142498816