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5400774414 = 233731012887
BaseRepresentation
bin1010000011110100…
…10100011100001110
3111221101111202201000
411001322110130032
542030044240124
62251525201130
7250556553000
oct50172243416
914841452630
105400774414
112321661832
1210688601a6
13680bb1809
143933c8370
1521921e6c9
hex141e9470e

5400774414 has 128 divisors (see below), whose sum is σ = 14139648000. Its totient is φ = 1527271200.

The previous prime is 5400774397. The next prime is 5400774419. The reversal of 5400774414 is 4144770045.

It is a happy number.

5400774414 is a `hidden beast` number, since 540 + 0 + 7 + 74 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400774419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869279 + ... + 1872165.

It is an arithmetic number, because the mean of its divisors is an integer number (110466000).

Almost surely, 25400774414 is an apocalyptic number.

5400774414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400774414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069824000).

5400774414 is an abundant number, since it is smaller than the sum of its proper divisors (8738873586).

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

5400774414 is a wasteful number, since it uses less digits than its factorization.

5400774414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5400774414 is about 73489.9613144544. The cubic root of 5400774414 is about 1754.4945055957.

The spelling of 5400774414 in words is "five billion, four hundred million, seven hundred seventy-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 294 303 343 378 441 606 686 707 882 909 1029 1323 1414 1818 2058 2121 2646 2727 2887 3087 4242 4949 5454 5774 6174 6363 8661 9261 9898 12726 14847 17322 18522 19089 20209 25983 29694 34643 38178 40418 44541 51966 60627 69286 77949 89082 103929 121254 133623 141463 155898 181881 207858 267246 282926 291587 311787 363762 424389 545643 583174 623574 848778 874761 935361 990241 1091286 1273167 1749522 1870722 1980482 2041109 2546334 2624283 2970723 3819501 4082218 5248566 5941446 6123327 7639002 7872849 8912169 12246654 14287763 15745698 17824338 18369981 26736507 28575526 36739962 42863289 53473014 55109943 85726578 100014341 110219886 128589867 200028682 257179734 300043023 385769601 600086046 771539202 900129069 1800258138 2700387207 5400774414