Search a number
-
+
139818350412 = 22321319291314139
BaseRepresentation
bin1000001000110111010…
…0101011011101001100
3111100220011220010100200
42002031310223131030
54242321444203122
6144122012253500
713046554240446
oct2021564533514
9440804803320
10139818350412
11543298a5114
1223120a71290
1310253061330
146aa5465496
153984cde5ac
hex208dd2b74c

139818350412 has 288 divisors, whose sum is σ = 417729312000. Its totient is φ = 39041533440.

The previous prime is 139818350359. The next prime is 139818350443. The reversal of 139818350412 is 214053818931.

139818350412 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 183 + 50 + 412 = 666.

It is a super-2 number, since 2×1398183504122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33778639 + ... + 33782777.

It is an arithmetic number, because the mean of its divisors is an integer number (1450449000).

Almost surely, 2139818350412 is an apocalyptic number.

139818350412 is a gapful number since it is divisible by the number (12) 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 139818350412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208864656000).

139818350412 is an abundant number, since it is smaller than the sum of its proper divisors (277910961588).

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

139818350412 is a wasteful number, since it uses less digits than its factorization.

139818350412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 139818350412 in words is "one hundred thirty-nine billion, eight hundred eighteen million, three hundred fifty thousand, four hundred twelve".