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1041303440440 = 23543712120097
BaseRepresentation
bin11110010011100101000…
…01011000110000111000
310200112210020010121010101
433021302201120300320
5114030042140043230
62114211310325144
7135142320126514
oct17116241306070
93615706117111
101041303440440
1137168371103a
1214998a4b97b4
137726b3bc023
1438583b8d144
151c1478bcaca
hexf272858c38

1041303440440 has 96 divisors (see below), whose sum is σ = 2431681853040. Its totient is φ = 401101424640.

The previous prime is 1041303440431. The next prime is 1041303440447. The reversal of 1041303440440 is 440443031401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1041303440399 and 1041303440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041303440447) 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, 8610472 + ... + 8730568.

Almost surely, 21041303440440 is an apocalyptic number.

1041303440440 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 1041303440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215840926520).

1041303440440 is an abundant number, since it is smaller than the sum of its proper divisors (1390378412600).

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

1041303440440 is a wasteful number, since it uses less digits than its factorization.

1041303440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120293 (or 120218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1041303440440 its reverse (440443031401), we get a palindrome (1481746471841).

The spelling of 1041303440440 in words is "one trillion, forty-one billion, three hundred three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 215 284 344 355 430 568 710 860 1420 1720 2840 3053 5041 6106 10082 12212 15265 20164 24424 25205 30530 40328 50410 61060 100820 120097 122120 201640 216763 240194 433526 480388 600485 867052 960776 1083815 1200970 1734104 2167630 2401940 4335260 4803880 5164171 8526887 8670520 10328342 17053774 20656684 25820855 34107548 41313368 42634435 51641710 68215096 85268870 103283420 170537740 206566840 341075480 366656141 605408977 733312282 1210817954 1466624564 1833280705 2421635908 2933249128 3027044885 3666561410 4843271816 6054089770 7333122820 12108179540 14666245640 24216359080 26032586011 52065172022 104130344044 130162930055 208260688088 260325860110 520651720220 1041303440440