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5414862240 = 253257947599
BaseRepresentation
bin1010000101100000…
…00011110110100000
3111222101000111120100
411002300003312200
542042201042430
62253151142400
7251120366244
oct50260036640
914871014510
105414862240
112329604167
121071514a00
13683aa4bc8
14395214424
1521a5a3960
hex142c03da0

5414862240 has 144 divisors (see below), whose sum is σ = 18712512000. Its totient is φ = 1425655296.

The previous prime is 5414862221. The next prime is 5414862241. The reversal of 5414862240 is 422684145.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5414862195 and 5414862204.

It is not an unprimeable number, because it can be changed into a prime (5414862241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89961 + ... + 137559.

It is an arithmetic number, because the mean of its divisors is an integer number (129948000).

Almost surely, 25414862240 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 5414862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256000).

5414862240 is an abundant number, since it is smaller than the sum of its proper divisors (13297649760).

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

5414862240 is a wasteful number, since it uses less digits than its factorization.

5414862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47699 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5414862240 is about 73585.7475330651. The cubic root of 5414862240 is about 1756.0187038687.

The spelling of 5414862240 in words is "five billion, four hundred fourteen million, eight hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1896 2370 2528 2844 3160 3555 3792 4740 5688 6320 7110 7584 9480 11376 12640 14220 18960 22752 28440 37920 47599 56880 95198 113760 142797 190396 237995 285594 380792 428391 475990 571188 713985 761584 856782 951980 1142376 1427970 1523168 1713564 1903960 2141955 2284752 2855940 3427128 3760321 3807920 4283910 4569504 5711880 6854256 7520642 7615840 8567820 11280963 11423760 13708512 15041284 17135640 18801605 22561926 22847520 30082568 33842889 34271280 37603210 45123852 56404815 60165136 67685778 68542560 75206420 90247704 112809630 120330272 135371556 150412840 169214445 180495408 225619260 270743112 300825680 338428890 360990816 451238520 541486224 601651360 676857780 902477040 1082972448 1353715560 1804954080 2707431120 5414862240