Search a number
-
+
14139961088 = 281140912277
BaseRepresentation
bin11010010101100111…
…01010111100000000
31100111102211110002112
431022303222330000
5212424312223323
610255032234452
71010254454231
oct151263527400
940442743075
1014139961088
115aa6704060
1228a753ba28
1314446045a6
14981d0b088
1557b57d178
hex34aceaf00

14139961088 has 72 divisors (see below), whose sum is σ = 30868365360. Its totient is φ = 6411018240.

The previous prime is 14139961079. The next prime is 14139961097. The reversal of 14139961088 is 88016993141.

It is an interprime number because it is at equal distance from previous prime (14139961079) and next prime (14139961097).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145606 + ... + 1157882.

Almost surely, 214139961088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14139961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434182680).

14139961088 is an abundant number, since it is smaller than the sum of its proper divisors (16728404272).

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

14139961088 is a wasteful number, since it uses less digits than its factorization.

14139961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The spelling of 14139961088 in words is "fourteen billion, one hundred thirty-nine million, nine hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 409 704 818 1408 1636 2816 3272 4499 6544 8998 12277 13088 17996 24554 26176 35992 49108 52352 71984 98216 104704 135047 143968 196432 270094 287936 392864 540188 575872 785728 1080376 1151744 1571456 2160752 3142912 4321504 5021293 8643008 10042586 17286016 20085172 34572032 40170344 55234223 80340688 110468446 160681376 220936892 321362752 441873784 642725504 883747568 1285451008 1767495136 3534990272 7069980544 14139961088