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4142489472 = 273311108967
BaseRepresentation
bin1111011011101001…
…0101111110000000
3101200200211021021000
43312322111332000
531440434130342
61523015532000
7204440402532
oct36672257600
911620737230
104142489472
111836366720
1297738a000
135102c0c04
142b4245852
15193a1e44c
hexf6e95f80

4142489472 has 128 divisors (see below), whose sum is σ = 13337683200. Its totient is φ = 1255288320.

The previous prime is 4142489437. The next prime is 4142489479. The reversal of 4142489472 is 2749842414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142489479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16468 + ... + 92499.

It is an arithmetic number, because the mean of its divisors is an integer number (104200650).

Almost surely, 24142489472 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 4142489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668841600).

4142489472 is an abundant number, since it is smaller than the sum of its proper divisors (9195193728).

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

4142489472 is a wasteful number, since it uses less digits than its factorization.

4142489472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109001 (or 108983 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4142489472 is about 64362.1742330074. The cubic root of 4142489472 is about 1606.0305583386.

The spelling of 4142489472 in words is "four billion, one hundred forty-two million, four hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 108967 217934 326901 435868 653802 871736 980703 1198637 1307604 1743472 1961406 2397274 2615208 2942109 3486944 3595911 3922812 4794548 5230416 5884218 6973888 7191822 7845624 9589096 10460832 10787733 11768436 13947776 14383644 15691248 19178192 20921664 21575466 23536872 28767288 31382496 32363199 38356384 41843328 43150932 47073744 57534576 62764992 64726398 76712768 86301864 94147488 115069152 125529984 129452796 153425536 172603728 188294976 230138304 258905592 345207456 376589952 460276608 517811184 690414912 1035622368 1380829824 2071244736 4142489472