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4741410440484 = 223413728832
BaseRepresentation
bin100010011111111001000…
…0101011100010100100100
3121210021102001020102210000
41010333302011130110210
51110140402033043414
614030101320501300
7666361366525614
oct104776205342444
917707361212700
104741410440484
1115689036490a3
12646b0091a830
132851615b08a3
141256b2280a44
15835057a2b09
hex44ff215c524

4741410440484 has 135 divisors (see below), whose sum is σ = 12500274773217. Its totient is φ = 1567157046336.

The previous prime is 4741410440453. The next prime is 4741410440521. The reversal of 4741410440484 is 4840440141474.

The square root of 4741410440484 is 2177478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2785127076900 + 1956283363584 = 1668870^2 + 1398672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5369660307 + ... + 5369661189.

Almost surely, 24741410440484 is an apocalyptic number.

4741410440484 is the 2177478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741410440484

4741410440484 is an abundant number, since it is smaller than the sum of its proper divisors (7758864332733).

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

4741410440484 is an frugal number, since it uses more digits than its factorization.

4741410440484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 4741410440484 in words is "four trillion, seven hundred forty-one billion, four hundred ten million, four hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 883 1233 1644 1766 2466 2649 3532 3699 4932 5298 7398 7947 10596 11097 14796 15894 18769 22194 23841 31788 37538 44388 47682 56307 71523 75076 95364 112614 120971 143046 168921 225228 241942 286092 337842 362913 483884 506763 675684 725826 779689 1013526 1088739 1451652 1520289 1559378 2027052 2177478 2339067 3040578 3118756 3266217 4354956 4678134 6081156 6532434 7017201 9356268 9798651 13064868 14034402 16573027 19597302 21051603 28068804 33146054 39194604 42103206 49719081 63154809 66292108 84206412 99438162 106817393 126309618 149157243 198876324 213634786 252619236 298314486 320452179 427269572 447471729 596628972 640904358 894943458 961356537 1281808716 1342415187 1789886916 1922713074 2684830374 2884069611 3845426148 5369660748 5768139222 8652208833 11536278444 14633982841 17304417666 29267965682 34608835332 43901948523 58535931364 87803897046 131705845569 175607794092 263411691138 395117536707 526823382276 790235073414 1185352610121 1580470146828 2370705220242 4741410440484