Search a number
-
+
5022451500240 = 243543768763311
BaseRepresentation
bin100100100010110000101…
…1100000000010011010000
3122210010211021120111210010
41021011201130000103100
51124241440041001430
614403140554034520
71025601013236066
oct111054134002320
918703737514703
105022451500240
111667011a33a39
12691474a18a40
132a57cc619a55
14135133496036
158a9a37d7cb0
hex491617004d0

5022451500240 has 160 divisors (see below), whose sum is σ = 15934007586816. Its totient is φ = 1307982574080.

The previous prime is 5022451500211. The next prime is 5022451500329. The reversal of 5022451500240 is 420051542205.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5022451500198 and 5022451500207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79298185 + ... + 79361495.

Almost surely, 25022451500240 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 5022451500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967003793408).

5022451500240 is an abundant number, since it is smaller than the sum of its proper divisors (10911556086576).

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

5022451500240 is a wasteful number, since it uses less digits than its factorization.

5022451500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71057 (or 71051 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 5022451500240 in words is "five trillion, twenty-two billion, four hundred fifty-one million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 7687 10320 15374 23061 30748 38435 46122 61496 63311 76870 92244 115305 122992 126622 153740 184488 189933 230610 253244 307480 316555 330541 368976 379866 461220 506488 614960 633110 661082 759732 922440 949665 991623 1012976 1266220 1322164 1519464 1652705 1844880 1899330 1983246 2532440 2644328 2722373 3038928 3305410 3798660 3966492 4958115 5064880 5288656 5444746 6610820 7597320 7932984 8167119 9916230 10889492 13221640 13611865 15194640 15865968 16334238 19832460 21778984 26443280 27223730 32668476 39664920 40835595 43557968 54447460 65336952 79329840 81671190 108894920 130673904 163342380 217789840 326684760 486671657 653369520 973343314 1460014971 1946686628 2433358285 2920029942 3893373256 4866716570 5840059884 7300074855 7786746512 9733433140 11680119768 14600149710 19466866280 20926881251 23360239536 29200299420 38933732560 41853762502 58400598840 62780643753 83707525004 104634406255 116801197680 125561287506 167415050008 209268812510 251122575012 313903218765 334830100016 418537625020 502245150024 627806437530 837075250040 1004490300048 1255612875060 1674150500080 2511225750120 5022451500240