Search a number
-
+
103445170944 = 2832310356857
BaseRepresentation
bin110000001010111010…
…0000000101100000000
3100220000021100011022120
41200111310000230000
53143323430432234
6115304433004240
710321316305443
oct1402564005400
9326007304276
10103445170944
113a964114015
121806b6b3680
1399a74bc92b
14501482965a
152a56916049
hex1815d00b00

103445170944 has 144 divisors (see below), whose sum is σ = 290079508992. Its totient is φ = 32661725184.

The previous prime is 103445170943. The next prime is 103445170949. The reversal of 103445170944 is 449071544301.

It is a happy number.

It is a super-2 number, since 2×1034451709442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103445170896 and 103445170905.

It is not an unprimeable number, because it can be changed into a prime (103445170943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790964 + ... + 1847820.

Almost surely, 2103445170944 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 103445170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145039754496).

103445170944 is an abundant number, since it is smaller than the sum of its proper divisors (186634338048).

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

103445170944 is a wasteful number, since it uses less digits than its factorization.

103445170944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57002 (or 56988 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 103445170944 in words is "one hundred three billion, four hundred forty-five million, one hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 128 138 184 192 206 256 276 309 368 384 412 552 618 736 768 824 1104 1236 1472 1648 2208 2369 2472 2944 3296 4416 4738 4944 5888 6592 7107 8832 9476 9888 13184 14214 17664 18952 19776 26368 28428 37904 39552 56856 56857 75808 79104 113712 113714 151616 170571 227424 227428 303232 341142 454848 454856 606464 682284 909696 909712 1307711 1364568 1819392 1819424 2615422 2729136 3638848 3923133 5230844 5458272 5856271 7277696 7846266 10461688 10916544 11712542 14555392 15692532 17568813 20923376 21833088 23425084 31385064 35137626 41846752 43666176 46850168 62770128 70275252 83693504 93700336 125540256 134694233 140550504 167387008 187400672 251080512 269388466 281101008 334774016 374801344 404082699 502161024 538776932 562202016 749602688 808165398 1004322048 1077553864 1124404032 1499205376 1616330796 2155107728 2248808064 3232661592 4310215456 4497616128 6465323184 8620430912 12930646368 17240861824 25861292736 34481723648 51722585472 103445170944