Search a number
-
+
2441304626152 = 2374138914471889
BaseRepresentation
bin100011100001101001000…
…110000101001111101000
322122101102201100122002111
4203201221012011033220
5304444242441014102
65105304142412104
7341243542635460
oct43415106051750
98571381318074
102441304626152
118613958a9157
12335183b91034
131492a231c7b2
14862345c6ba0
1543785bb3cd7
hex238691853e8

2441304626152 has 128 divisors (see below), whose sum is σ = 5379296832000. Its totient is φ = 1016888279040.

The previous prime is 2441304626027. The next prime is 2441304626153. The reversal of 2441304626152 is 2516264031442.

It is not an unprimeable number, because it can be changed into a prime (2441304626153) 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, 1292378424 + ... + 1292380312.

It is an arithmetic number, because the mean of its divisors is an integer number (42025756500).

Almost surely, 22441304626152 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 2441304626152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689648416000).

2441304626152 is an abundant number, since it is smaller than the sum of its proper divisors (2937992205848).

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

2441304626152 is a wasteful number, since it uses less digits than its factorization.

2441304626152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 2441304626152 its reverse (2516264031442), we get a palindrome (4957568657594).

The spelling of 2441304626152 in words is "two trillion, four hundred forty-one billion, three hundred four million, six hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 389 574 778 1148 1447 1556 1889 2296 2723 2894 3112 3778 5446 5788 7556 10129 10892 11576 13223 15112 15949 20258 21784 26446 31898 40516 52892 59327 63796 77449 81032 105784 111643 118654 127592 154898 223286 237308 309796 415289 446572 474616 542143 562883 619592 734821 830578 893144 1084286 1125766 1469642 1661156 2168572 2251532 2733383 2939284 3322312 3940181 4337144 4503064 5143747 5466766 5878568 7880362 10287494 10933532 15760724 19133681 20574988 21867064 23078203 30127661 31521448 38267362 41149976 46156406 60255322 76534724 92312812 112068703 120510644 153069448 161547421 184625624 210893627 224137406 241021288 323094842 421787254 448274812 646189684 784480921 843574508 896549624 1063285987 1292379368 1568961842 1687149016 2126571974 3137923684 4253143948 6275847368 7443001909 8506287896 14886003818 29772007636 43594725467 59544015272 87189450934 174378901868 305163078269 348757803736 610326156538 1220652313076 2441304626152