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1042443310440 = 233571749170951
BaseRepresentation
bin11110010101101100111…
…01101001010101101000
310200122201122222222210210
433022312131221111220
5114034410441413230
62114520345541120
7135212500636620
oct17126635512550
93618648888723
101042443310440
11372109088264
1214a0481a47a0
13773c05bc30c
1438651309880
151c1b29cbeb0
hexf2b6769568

1042443310440 has 128 divisors (see below), whose sum is σ = 3574346065920. Its totient is φ = 238255776000.

The previous prime is 1042443310423. The next prime is 1042443310451. The reversal of 1042443310440 is 440133442401.

It is a super-2 number, since 2×10424433104402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1042443310398 and 1042443310407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14656965 + ... + 14727915.

It is an arithmetic number, because the mean of its divisors is an integer number (27924578640).

Almost surely, 21042443310440 is an apocalyptic number.

1042443310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042443310440 is an abundant number, since it is smaller than the sum of its proper divisors (2531902755480).

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

1042443310440 is a wasteful number, since it uses less digits than its factorization.

1042443310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88463 (or 88459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1042443310440 its reverse (440133442401), we get a palindrome (1482576752841).

The spelling of 1042443310440 in words is "one trillion, forty-two billion, four hundred forty-three million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 17491 34982 52473 69964 70951 87455 104946 122437 139928 141902 174910 209892 212853 244874 262365 283804 349820 354755 367311 419784 425706 489748 496657 524730 567608 612185 699640 709510 734622 851412 979496 993314 1049460 1064265 1224370 1419020 1469244 1489971 1702824 1836555 1986628 2098920 2128530 2448740 2483285 2838040 2938488 2979942 3673110 3973256 4257060 4897480 4966570 5959884 7346220 7449855 8514120 9933140 11919768 14692440 14899710 19866280 29799420 59598840 1241003941 2482007882 3723011823 4964015764 6205019705 7446023646 8687027587 9928031528 12410039410 14892047292 17374055174 18615059115 24820078820 26061082761 29784094584 34748110348 37230118230 43435137935 49640157640 52122165522 69496220696 74460236460 86870275870 104244331044 130305413805 148920472920 173740551740 208488662088 260610827610 347481103480 521221655220 1042443310440