Search a number
-
+
138971848428 = 223272198534861
BaseRepresentation
bin1000000101101101011…
…1100001111011101100
3111021201012001100221100
42001123113201323230
54234103243122203
6143502013003100
713016565135600
oct2013327417354
9437635040840
10138971848428
1153a34a926a6
1222b25483490
131014987929a
146a24c73500
15393582dea3
hex205b5e1eec

138971848428 has 216 divisors, whose sum is σ = 430743833520. Its totient is φ = 37564611840.

The previous prime is 138971848399. The next prime is 138971848507. The reversal of 138971848428 is 824848179831.

138971848428 is a `hidden beast` number, since 1 + 3 + 89 + 71 + 8 + 484 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28586718 + ... + 28591578.

Almost surely, 2138971848428 is an apocalyptic number.

138971848428 is a gapful number since it is divisible by the number (18) 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 138971848428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215371916760).

138971848428 is an abundant number, since it is smaller than the sum of its proper divisors (291771985092).

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

138971848428 is a wasteful number, since it uses less digits than its factorization.

138971848428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5745 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 138971848428 in words is "one hundred thirty-eight billion, nine hundred seventy-one million, eight hundred forty-eight thousand, four hundred twenty-eight".