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244401456131 = 7217283269773
BaseRepresentation
bin1110001110011101110…
…1100100010000000011
3212100211202110100201122
43203213131210100003
513001013233044011
6304135415222455
723441332046300
oct3434735442003
9770752410648
10244401456131
1194717283398
123b449677a2b
131a07c224441
14bb870660a7
1565565813db
hex38e7764403

244401456131 has 72 divisors (see below), whose sum is σ = 307183045680. Its totient is φ = 193813552128.

The previous prime is 244401456073. The next prime is 244401456149. The reversal of 244401456131 is 131654104442.

It is not a de Polignac number, because 244401456131 - 226 = 244334347267 is a prime.

It is a super-2 number, since 2×2444014561312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244401456091 and 244401456100.

It is not an unprimeable number, because it can be changed into a prime (244401456181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316172261 + ... + 316173033.

It is an arithmetic number, because the mean of its divisors is an integer number (4266431190).

Almost surely, 2244401456131 is an apocalyptic number.

244401456131 is a deficient number, since it is larger than the sum of its proper divisors (62781589549).

244401456131 is a wasteful number, since it uses less digits than its factorization.

244401456131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 244401456131 in words is "two hundred forty-four billion, four hundred one million, four hundred fifty-six thousand, one hundred thirty-one".

Divisors: 1 7 17 49 83 119 269 289 581 773 833 1411 1883 2023 4067 4573 5411 9877 13141 13181 14161 22327 23987 32011 37877 64159 69139 77741 91987 156289 167909 207937 223397 224077 379559 449113 544187 643909 1090703 1094023 1175363 1455559 1563779 2656913 3143791 3534929 3809309 6452503 7634921 10188913 10946453 17258771 18541951 18598391 24744503 45167521 53444447 60093793 120811397 129793657 173211521 293399107 316172647 420656551 845679779 908555599 2053793749 2944595857 4987784819 14376556243 34914493733 244401456131