Search a number
-
+
168144340100 = 2252111051145441
BaseRepresentation
bin1001110010011000101…
…1110000010010000100
3121002000021020111021212
42130212023300102010
510223324422340400
6205124444430552
715101526210662
oct2344613602204
9532007214255
10168144340100
1165345107450
1228707248458
1312b18679689
1481d1431c32
15459199a335
hex27262f0484

168144340100 has 72 divisors (see below), whose sum is σ = 398424978336. Its totient is φ = 61084800000.

The previous prime is 168144340087. The next prime is 168144340103. The reversal of 168144340100 is 1043441861.

It is not an unprimeable number, because it can be changed into a prime (168144340103) 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, 1083380 + ... + 1228820.

Almost surely, 2168144340100 is an apocalyptic number.

168144340100 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 168144340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199212489168).

168144340100 is an abundant number, since it is smaller than the sum of its proper divisors (230280638236).

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

168144340100 is a wasteful number, since it uses less digits than its factorization.

168144340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146517 (or 146510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 168144340100 its reverse (1043441861), we get a palindrome (169187781961).

The spelling of 168144340100 in words is "one hundred sixty-eight billion, one hundred forty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1051 1100 2102 4204 5255 10510 11561 21020 23122 26275 46244 52550 57805 105100 115610 145441 231220 289025 290882 578050 581764 727205 1156100 1454410 1599851 2908820 3199702 3636025 6399404 7272050 7999255 14544100 15998510 31997020 39996275 79992550 152858491 159985100 305716982 611433964 764292455 1528584910 1681443401 3057169820 3362886802 3821462275 6725773604 7642924550 8407217005 15285849100 16814434010 33628868020 42036085025 84072170050 168144340100