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138214998 = 2351716729
BaseRepresentation
bin10000011110011…
…11111001010110
3100122002001100000
420033033321112
5240340334443
621414232130
73265544115
oct1017177126
9318061300
10138214998
1171022a79
123a355646
1322833a2c
14144dbc7c
15c2028d3
hex83cfe56

138214998 has 48 divisors (see below), whose sum is σ = 328844880. Its totient is φ = 43358976.

The previous prime is 138214991. The next prime is 138215023. The reversal of 138214998 is 899412831.

138214998 is a `hidden beast` number, since 138 + 21 + 499 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138214991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103 + ... + 16626.

It is an arithmetic number, because the mean of its divisors is an integer number (6850935).

Almost surely, 2138214998 is an apocalyptic number.

138214998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138214998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164422440).

138214998 is an abundant number, since it is smaller than the sum of its proper divisors (190629882).

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

138214998 is a wasteful number, since it uses less digits than its factorization.

138214998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16763 (or 16751 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 138214998 is about 11756.4874856396. The cubic root of 138214998 is about 517.0331517513.

The spelling of 138214998 in words is "one hundred thirty-eight million, two hundred fourteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 16729 33458 50187 100374 150561 284393 301122 451683 568786 853179 903366 1355049 1706358 2559537 2710098 4065147 5119074 7678611 8130294 15357222 23035833 46071666 69107499 138214998