Search a number
-
+
1041555301344 = 2535607220667
BaseRepresentation
bin11110010100000011000…
…10001010001111100000
310200120102210001110100000
433022001202022033200
5114031101124120334
62114252304500000
7135151465662045
oct17120142121740
93616383043300
101041555301344
113717a28a5948
12149a3a91a600
13772ab63374c
14385a93d11cc
151c15ea6d299
hexf28188a3e0

1041555301344 has 144 divisors (see below), whose sum is σ = 3076698014208. Its totient is φ = 346611560832.

The previous prime is 1041555301261. The next prime is 1041555301361. The reversal of 1041555301344 is 4431035551401.

1041555301344 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 5 + 5 + 301 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041555301299 and 1041555301308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609699 + ... + 4830365.

It is an arithmetic number, because the mean of its divisors is an integer number (21365958432).

Almost surely, 21041555301344 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 1041555301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538349007104).

1041555301344 is an abundant number, since it is smaller than the sum of its proper divisors (2035142712864).

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

1041555301344 is an equidigital number, since it uses as much as digits as its factorization.

1041555301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221299 (or 221279 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1041555301344 in words is "one trillion, forty-one billion, five hundred fifty-five million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 607 648 864 972 1214 1296 1821 1944 2428 2592 3642 3888 4856 5463 7284 7776 9712 10926 14568 16389 19424 21852 29136 32778 43704 49167 58272 65556 87408 98334 131112 147501 174816 196668 220667 262224 295002 393336 441334 524448 590004 662001 786672 882668 1180008 1324002 1573344 1765336 1986003 2360016 2648004 3530672 3972006 4720032 5296008 5958009 7061344 7944012 10592016 11916018 15888024 17874027 21184032 23832036 31776048 35748054 47664072 53622081 63552096 71496108 95328144 107244162 133944869 142992216 190656288 214488324 267889738 285984432 401834607 428976648 535779476 571968864 803669214 857953296 1071558952 1205503821 1607338428 1715906592 2143117904 2411007642 3214676856 3616511463 4286235808 4822015284 6429353712 7233022926 9644030568 10849534389 12858707424 14466045852 19288061136 21699068778 28932091704 32548603167 38576122272 43398137556 57864183408 65097206334 86796275112 115728366816 130194412668 173592550224 260388825336 347185100448 520777650672 1041555301344