Search a number
-
+
5023000324240 = 245377154144179
BaseRepresentation
bin100100100011000001000…
…1001100110100010010000
3122210012020112021122202221
41021012002021212202100
51124244101040333430
614403311241150424
71025620426202053
oct111060211464220
918705215248687
105023000324240
111667273808598
126915a878b414
132a5889237b92
1413518631aa9a
158a9d6a9757a
hex49182266890

5023000324240 has 160 divisors (see below), whose sum is σ = 12185799701760. Its totient is φ = 1923757516800.

The previous prime is 5023000324229. The next prime is 5023000324241. The reversal of 5023000324240 is 424230003205.

It is a super-3 number, since 3×50230003242403 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5023000324241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113674471 + ... + 113718649.

It is an arithmetic number, because the mean of its divisors is an integer number (76161248136).

Almost surely, 25023000324240 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 5023000324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092899850880).

5023000324240 is an abundant number, since it is smaller than the sum of its proper divisors (7162799377520).

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

5023000324240 is a wasteful number, since it uses less digits than its factorization.

5023000324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44841 (or 44835 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 5023000324240 its reverse (424230003205), we get a palindrome (5447230327445).

The spelling of 5023000324240 in words is "five trillion, twenty-three billion, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 71 74 80 142 148 185 284 296 355 370 541 568 592 710 740 1082 1136 1420 1480 2164 2627 2705 2840 2960 4328 5254 5410 5680 8656 10508 10820 13135 20017 21016 21640 26270 38411 40034 42032 43280 44179 52540 76822 80068 88358 100085 105080 153644 160136 176716 192055 200170 210160 220895 307288 320272 353432 384110 400340 441790 614576 706864 768220 800680 883580 1421207 1536440 1601360 1634623 1767160 2842414 3072880 3136709 3269246 3534320 5684828 6273418 6538492 7106035 8173115 11369656 12546836 13076984 14212070 15683545 16346230 22739312 23900839 25093672 26153968 28424140 31367090 32692460 47801678 50187344 56848280 62734180 65384920 95603356 113696560 116058233 119504195 125468360 130769840 191206712 232116466 239008390 250936720 382413424 464232932 478016780 580291165 884331043 928465864 956033560 1160582330 1696959569 1768662086 1856931728 1912067120 2321164660 3393919138 3537324172 4421655215 4642329320 6787838276 7074648344 8484797845 8843310430 9284658640 13575676552 14149296688 16969595690 17686620860 27151353104 33939191380 35373241720 62787504053 67878382760 70746483440 125575008106 135756765520 251150016212 313937520265 502300032424 627875040530 1004600064848 1255750081060 2511500162120 5023000324240