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5014054240 = 2551321071733
BaseRepresentation
bin1001010101101110…
…00110010101100000
3110221102211100100121
410222313012111200
540232044213430
62145312330024
7235152520636
oct45267062540
913842740317
105014054240
112143337188
12b7b243914
1361ba3c900
14357cbd356
151e52d0a7a
hex12adc6560

5014054240 has 144 divisors (see below), whose sum is σ = 12954353328. Its totient is φ = 1832982528.

The previous prime is 5014054231. The next prime is 5014054261. The reversal of 5014054240 is 424504105.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892414 + ... + 2894146.

It is an arithmetic number, because the mean of its divisors is an integer number (89960787).

Almost surely, 25014054240 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 5014054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477176664).

5014054240 is an abundant number, since it is smaller than the sum of its proper divisors (7940299088).

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

5014054240 is a wasteful number, since it uses less digits than its factorization.

5014054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5014054240 is about 70809.9868662606. The cubic root of 5014054240 is about 1711.5766086962.

Adding to 5014054240 its reverse (424504105), we get a palindrome (5438558345).

The spelling of 5014054240 in words is "five billion, fourteen million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 130 160 169 208 214 260 338 416 428 520 535 676 845 856 1040 1070 1352 1391 1690 1712 1733 2080 2140 2704 2782 3380 3424 3466 4280 5408 5564 6760 6932 6955 8560 8665 11128 13520 13864 13910 17120 17330 18083 22256 22529 27040 27728 27820 34660 36166 44512 45058 55456 55640 69320 72332 90116 90415 111280 112645 138640 144664 180232 180830 185431 222560 225290 277280 289328 292877 360464 361660 370862 450580 578656 585754 720928 723320 741724 901160 927155 1171508 1446640 1464385 1483448 1802320 1854310 2343016 2410603 2893280 2928770 2966896 3604640 3708620 4686032 4821206 5857540 5933792 7417240 9372064 9642412 11715080 12053015 14834480 19284824 23430160 24106030 29668960 31337839 38569648 46860320 48212060 62675678 77139296 96424120 125351356 156689195 192848240 250702712 313378390 385696480 501405424 626756780 1002810848 1253513560 2507027120 5014054240