Search a number
-
+
51002145040 = 2457118279569
BaseRepresentation
bin101111011111111101…
…101111100100010000
311212122102112102011211
4233133331233210100
51313423022120130
635232520545504
73453611036260
oct573775574420
9155572472154
1051002145040
111a6a24214a0
129a74622294
134a6a57b362
14267b8797a0
1514d784ba2a
hexbdff6f910

51002145040 has 80 divisors (see below), whose sum is σ = 147840001920. Its totient is φ = 15896770560.

The previous prime is 51002145023. The next prime is 51002145049. The reversal of 51002145040 is 4054120015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×510021450403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (51002145049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4133625 + ... + 4145944.

It is an arithmetic number, because the mean of its divisors is an integer number (1848000024).

Almost surely, 251002145040 is an apocalyptic number.

It is an amenable number.

51002145040 is an abundant number, since it is smaller than the sum of its proper divisors (96837856880).

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

51002145040 is a wasteful number, since it uses less digits than its factorization.

51002145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279600 (or 8279594 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 51002145040 its reverse (4054120015), we get a palindrome (55056265055).

The spelling of 51002145040 in words is "fifty-one billion, two million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 8279569 16559138 33118276 41397845 57956983 66236552 82795690 91075259 115913966 132473104 165591380 182150518 231827932 289784915 331182760 364301036 455376295 463655864 579569830 637526813 662365520 728602072 910752590 927311728 1159139660 1275053626 1457204144 1821505180 2318279320 2550107252 3187634065 3643010360 4636558640 5100214504 6375268130 7286020720 10200429008 12750536260 25501072520 51002145040