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5145105040 = 245479714107
BaseRepresentation
bin1001100101010110…
…00001001010010000
3111021120102102020221
410302223001022100
541014121330130
62210313242424
7241333446145
oct46253011220
914246372227
105145105040
112200306629
12bb7103414
1363cc3576a
1436b4743cc
15201a6a87a
hex132ac1290

5145105040 has 80 divisors (see below), whose sum is σ = 12343709952. Its totient is φ = 1993347072.

The previous prime is 5145104983. The next prime is 5145105059. The reversal of 5145105040 is 405015415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5145104996 and 5145105014.

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, 357667 + ... + 371773.

Almost surely, 25145105040 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 5145105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171854976).

5145105040 is an abundant number, since it is smaller than the sum of its proper divisors (7198604912).

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

5145105040 is a wasteful number, since it uses less digits than its factorization.

5145105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264 (or 14258 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5145105040 is about 71729.3875618634. The cubic root of 5145105040 is about 1726.3602002923.

The spelling of 5145105040 in words is "five billion, one hundred forty-five million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 97 188 194 235 376 388 470 485 752 776 940 970 1552 1880 1940 3760 3880 4559 7760 9118 14107 18236 22795 28214 36472 45590 56428 70535 72944 91180 112856 141070 182360 225712 282140 364720 564280 663029 1128560 1326058 1368379 2652116 2736758 3315145 5304232 5473516 6630290 6841895 10608464 10947032 13260580 13683790 21894064 26521160 27367580 53042320 54735160 64313813 109470320 128627626 257255252 321569065 514510504 643138130 1029021008 1286276260 2572552520 5145105040