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74042144512 = 287891572957
BaseRepresentation
bin100010011110101000…
…0010111011100000000
321002010010100122201121
41010331100113130000
52203114242111022
654003044042024
75230555562350
oct1047520273400
9232103318647
1074042144512
1129445951076
1212424693314
136c9ca03a3b
1438257bab60
151dd540d2c7
hex113d417700

74042144512 has 144 divisors (see below), whose sum is σ = 171952562880. Its totient is φ = 31165415424.

The previous prime is 74042144489. The next prime is 74042144549. The reversal of 74042144512 is 21544124047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25038138 + ... + 25041094.

It is an arithmetic number, because the mean of its divisors is an integer number (1194115020).

Almost surely, 274042144512 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 74042144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976281440).

74042144512 is an abundant number, since it is smaller than the sum of its proper divisors (97910418368).

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

74042144512 is a wasteful number, since it uses less digits than its factorization.

74042144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

Adding to 74042144512 its reverse (21544124047), we get a palindrome (95586268559).

The spelling of 74042144512 in words is "seventy-four billion, forty-two million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 157 178 224 256 314 356 448 623 628 712 896 1099 1246 1256 1424 1792 2198 2492 2512 2848 2957 4396 4984 5024 5696 5914 8792 9968 10048 11392 11828 13973 17584 19936 20096 20699 22784 23656 27946 35168 39872 40192 41398 47312 55892 70336 79744 82796 94624 97811 111784 140672 159488 165592 189248 195622 223568 263173 281344 331184 378496 391244 447136 464249 526346 662368 756992 782488 894272 928498 1052692 1324736 1564976 1788544 1842211 1856996 2105384 2649472 3129952 3249743 3577088 3684422 3713992 4210768 5298944 6259904 6499486 7368844 7427984 8421536 12519808 12998972 14737688 14855968 16843072 25039616 25997944 29475376 29711936 33686144 41318161 51995888 58950752 59423872 67372288 82636322 103991776 117901504 118847744 165272644 207983552 235803008 289227127 330545288 415967104 471606016 578454254 661090576 831934208 1156908508 1322181152 2313817016 2644362304 4627634032 5288724608 9255268064 10577449216 18510536128 37021072256 74042144512