Search a number
-
+
1023747334416 = 2432843172
BaseRepresentation
bin11101110010111000001…
…10001010000100010000
310121212110201020000011100
432321130012022010100
5113233113304200131
62102145242144400
7133651261523112
oct16713406120420
93555421200140
101023747334416
11365194754804
121464aaab2100
137570112b101
143779a2b13b2
151b96b4987e6
hexee5c18a110

1023747334416 has 45 divisors (see below), whose sum is σ = 2865104645221. Its totient is φ = 341245064256.

The previous prime is 1023747334403. The next prime is 1023747334417. The reversal of 1023747334416 is 6144337473201.

The square root of 1023747334416 is 1011804.

It is a perfect power (a square), and thus also a powerful number.

1023747334416 is a `hidden beast` number, since 1 + 0 + 237 + 4 + 73 + 344 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250220048400 + 773527286016 = 500220^2 + 879504^2 .

It is a super-2 number, since 2×10237473344162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023747334417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12099490 + ... + 12183806.

Almost surely, 21023747334416 is an apocalyptic number.

1023747334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1023747334416 is the 1011804-th square number.

It is an amenable number.

1023747334416 is an abundant number, since it is smaller than the sum of its proper divisors (1841357310805).

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

1023747334416 is an frugal number, since it uses more digits than its factorization.

1023747334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168648 (or 84322 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 1023747334416 in words is "one trillion, twenty-three billion, seven hundred forty-seven million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84317 168634 252951 337268 505902 674536 758853 1011804 1349072 1517706 2023608 3035412 4047216 6070824 12141648 7109356489 14218712978 21328069467 28437425956 42656138934 56874851912 63984208401 85312277868 113749703824 127968416802 170624555736 255936833604 341249111472 511873667208 1023747334416