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5034045040 = 245293116977
BaseRepresentation
bin1001011000000110…
…10110111001110000
3110222211102222120121
410230003112321300
540302203420130
62151305020024
7235514451103
oct45403267160
913884388517
105034045040
112153650602
12b85a84614
13622c1ba9b
1435a80473a
151e6e2dd7a
hex12c0d6e70

5034045040 has 80 divisors (see below), whose sum is σ = 12148418880. Its totient is φ = 1937653760.

The previous prime is 5034045007. The next prime is 5034045073. The reversal of 5034045040 is 405404305.

It is an interprime number because it is at equal distance from previous prime (5034045007) and next prime (5034045073).

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 = 5034044996 and 5034045014.

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, 718032 + ... + 725008.

It is an arithmetic number, because the mean of its divisors is an integer number (151855236).

Almost surely, 25034045040 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 5034045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074209440).

5034045040 is an abundant number, since it is smaller than the sum of its proper divisors (7114373840).

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

5034045040 is a wasteful number, since it uses less digits than its factorization.

5034045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5034045040 is about 70951.0045031076. The cubic root of 5034045040 is about 1713.8482510466.

Adding to 5034045040 its reverse (405404305), we get a palindrome (5439449345).

The spelling of 5034045040 in words is "five billion, thirty-four million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 311 464 580 622 1160 1244 1555 2320 2488 3110 4976 6220 6977 9019 12440 13954 18038 24880 27908 34885 36076 45095 55816 69770 72152 90190 111632 139540 144304 180380 202333 279080 360760 404666 558160 721520 809332 1011665 1618664 2023330 2169847 3237328 4046660 4339694 8093320 8679388 10849235 16186640 17358776 21698470 34717552 43396940 62925563 86793880 125851126 173587760 251702252 314627815 503404504 629255630 1006809008 1258511260 2517022520 5034045040