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2441131434 = 2327291813691
BaseRepresentation
bin1001000110000000…
…1011010110101010
320022010102022210100
42101200023112222
514444412201214
61042121530230
7114331163160
oct22140132652
96263368710
102441131434
111042a561a5
12581643976
132cb98a491
141922c9230
15e449d309
hex9180b5aa

2441131434 has 96 divisors (see below), whose sum is σ = 6289395840. Its totient is φ = 669513600.

The previous prime is 2441131423. The next prime is 2441131481. The reversal of 2441131434 is 4341311442.

It is a junction number, because it is equal to n+sod(n) for n = 2441131398 and 2441131407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659529 + ... + 663219.

It is an arithmetic number, because the mean of its divisors is an integer number (65514540).

Almost surely, 22441131434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441131434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144697920).

2441131434 is an abundant number, since it is smaller than the sum of its proper divisors (3848264406).

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

2441131434 is a wasteful number, since it uses less digits than its factorization.

2441131434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3913 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2441131434 is about 49407.8074194757. The cubic root of 2441131434 is about 1346.4711558009.

Adding to 2441131434 its reverse (4341311442), we get a palindrome (6782442876).

The spelling of 2441131434 in words is "two billion, four hundred forty-one million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 181 203 261 362 406 522 543 609 1086 1218 1267 1629 1827 2534 3258 3654 3691 3801 5249 7382 7602 10498 11073 11403 15747 22146 22806 25837 31494 33219 36743 47241 51674 66438 73486 77511 94482 107039 110229 155022 214078 220458 232533 321117 330687 465066 642234 661374 668071 749273 963351 1336142 1498546 1926702 2004213 2247819 4008426 4495638 4676497 6012639 6743457 9352994 12025278 13486914 14029491 19374059 28058982 38748118 42088473 58122177 84176946 116244354 135618413 174366531 271236826 348733062 406855239 813710478 1220565717 2441131434