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5214500440 = 2351729269983
BaseRepresentation
bin1001101101100111…
…01111011001011000
3111110102000001211221
410312303233121120
541134403003230
62221232501424
7243135344122
oct46663573130
914412001757
105214500440
1122364a43a6
1210163aa874
13651422026
1437677a212
15207bc727a
hex136cef658

5214500440 has 128 divisors (see below), whose sum is σ = 12912048000. Its totient is φ = 1886445568.

The previous prime is 5214500419. The next prime is 5214500461. The reversal of 5214500440 is 440054125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5214500419) and next prime (5214500461).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5304189 + ... + 5305171.

It is an arithmetic number, because the mean of its divisors is an integer number (100875375).

Almost surely, 25214500440 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 5214500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456024000).

5214500440 is an abundant number, since it is smaller than the sum of its proper divisors (7697547560).

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

5214500440 is a wasteful number, since it uses less digits than its factorization.

5214500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

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

The square root of 5214500440 is about 72211.4979764303. The cubic root of 5214500440 is about 1734.0870812876.

Adding to 5214500440 its reverse (440054125), we get a palindrome (5654554565).

The spelling of 5214500440 in words is "five billion, two hundred fourteen million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 269 290 340 493 538 580 680 983 986 1076 1160 1345 1966 1972 2152 2465 2690 3932 3944 4573 4915 4930 5380 7801 7864 9146 9830 9860 10760 15602 16711 18292 19660 19720 22865 28507 31204 33422 36584 39005 39320 45730 57014 62408 66844 78010 83555 91460 114028 132617 133688 142535 156020 167110 182920 228056 264427 265234 285070 312040 334220 484619 528854 530468 570140 663085 668440 969238 1057708 1060936 1140280 1322135 1326170 1938476 2115416 2423095 2644270 2652340 3876952 4495259 4846190 5288540 5304680 7668383 8990518 9692380 10577080 15336766 17981036 19384760 22476295 30673532 35962072 38341915 44952590 61347064 76683830 89905180 130362511 153367660 179810360 260725022 306735320 521450044 651812555 1042900088 1303625110 2607250220 5214500440