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128119611844 = 22723726912
BaseRepresentation
bin111011101010010000…
…1100010000111000100
3110020200212122122000001
41313110201202013010
54044342110034334
6134505103531044
712153631506100
oct1672441420704
9406625578001
10128119611844
114a3761a9734
12209b6bb9a84
13c10a449813
1462b5868900
1534ecc2b714
hex1dd48621c4

128119611844 has 81 divisors (see below), whose sum is σ = 268442974989. Its totient is φ = 53347079520.

The previous prime is 128119611839. The next prime is 128119611863. The reversal of 128119611844 is 448116911821.

The square root of 128119611844 is 357938.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 114643188100 + 13476423744 = 338590^2 + 116088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128119611794 and 128119611803.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185411539 + ... + 185412229.

Almost surely, 2128119611844 is an apocalyptic number.

128119611844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

128119611844 is the 357938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128119611844

128119611844 is an abundant number, since it is smaller than the sum of its proper divisors (140323363145).

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

128119611844 is an frugal number, since it uses more digits than its factorization.

128119611844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its digits is 110592, while the sum is 46.

The spelling of 128119611844 in words is "one hundred twenty-eight billion, one hundred nineteen million, six hundred eleven thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 691 1036 1369 1382 1813 2738 2764 3626 4837 5476 7252 9583 9674 19166 19348 25567 33859 38332 51134 67081 67718 102268 134162 135436 178969 268324 357938 477481 715876 945979 954962 1252783 1891958 1909924 2505566 3342367 3783916 5011132 6621853 6684734 13243706 13369468 17666797 23396569 26487412 35333594 46352971 46793138 70667188 92705942 93586276 123667579 185411884 247335158 494670316 653671489 865673053 1307342978 1731346106 2614685956 3462692212 4575700423 9151400846 18302801692 32029902961 64059805922 128119611844