Search a number
-
+
5001414240 = 253529359297
BaseRepresentation
bin1001010100001101…
…11000011001100000
3110220120001011112110
410222012320121200
540220330223430
62144141355320
7234640214424
oct45206703140
913816034473
105001414240
1121371935a9
12b76b68b40
13619235514
1435634cb84
151e41357b0
hex12a1b8660

5001414240 has 96 divisors (see below), whose sum is σ = 16297757280. Its totient is φ = 1287716864.

The previous prime is 5001414221. The next prime is 5001414241. The reversal of 5001414240 is 424141005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165729 + ... + 193568.

It is an arithmetic number, because the mean of its divisors is an integer number (169768305).

Almost surely, 25001414240 is an apocalyptic number.

It is an amenable number.

5001414240 is an abundant number, since it is smaller than the sum of its proper divisors (11296343040).

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

5001414240 is a wasteful number, since it uses less digits than its factorization.

5001414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359344 (or 359336 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5001414240 is about 70720.6775985638. The cubic root of 5001414240 is about 1710.1371525709.

Adding to 5001414240 its reverse (424141005), we get a palindrome (5425555245).

The spelling of 5001414240 in words is "five billion, one million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 359297 718594 1077891 1437188 1796485 2155782 2874376 3592970 4311564 5389455 5748752 7185940 8623128 10419613 10778910 11497504 14371880 17246256 20839226 21557820 28743760 31258839 34492512 41678452 43115640 52098065 57487520 62517678 83356904 86231280 104196130 125035356 156294195 166713808 172462560 208392260 250070712 312588390 333427616 416784520 500141424 625176780 833569040 1000282848 1250353560 1667138080 2500707120 5001414240