Search a number
-
+
161341717440 = 26352341178223
BaseRepresentation
bin1001011001000010110…
…1110011101111000000
3120102110011220110022110
42112100231303233000
510120411434424230
6202041440535320
714441124653601
oct2262055635700
9512404813273
10161341717440
1162474214352
1227329021540
13122a3220077
147b47bb3da8
1542e466d4b0
hex2590b73bc0

161341717440 has 224 divisors, whose sum is σ = 547572566016. Its totient is φ = 40149852160.

The previous prime is 161341717429. The next prime is 161341717489. The reversal of 161341717440 is 44717143161.

It is a super-2 number, since 2×1613417174402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816169 + ... + 994391.

It is an arithmetic number, because the mean of its divisors is an integer number (2444520384).

Almost surely, 2161341717440 is an apocalyptic number.

161341717440 is a gapful number since it is divisible by the number (10) 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 161341717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273786283008).

161341717440 is an abundant number, since it is smaller than the sum of its proper divisors (386230848576).

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

161341717440 is a wasteful number, since it uses less digits than its factorization.

161341717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178307 (or 178297 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 161341717440 in words is "one hundred sixty-one billion, three hundred forty-one million, seven hundred seventeen thousand, four hundred forty".