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441350068432 = 24713835236983
BaseRepresentation
bin1100110110000101000…
…00111001100011010000
31120012012110000111012211
412123002200321203100
524212341104142212
6534430423401504
743613031453250
oct6330240714320
91505173014184
10441350068432
111601a2675879
12716532b3294
1332808309160
141750bba5960
15b731bb09a7
hex66c28398d0

441350068432 has 160 divisors (see below), whose sum is σ = 1067319687168. Its totient is φ = 172141936128.

The previous prime is 441350068421. The next prime is 441350068441. The reversal of 441350068432 is 234860053144.

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, 63200013 + ... + 63206995.

Almost surely, 2441350068432 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 441350068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533659843584).

441350068432 is an abundant number, since it is smaller than the sum of its proper divisors (625969618736).

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

441350068432 is a wasteful number, since it uses less digits than its factorization.

441350068432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7611 counting only the distinct ones).

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

The spelling of 441350068432 in words is "four hundred forty-one billion, three hundred fifty million, sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 523 581 664 728 1046 1079 1162 1328 1456 2092 2158 2324 3661 4184 4316 4648 6799 6983 7322 7553 8368 8632 9296 13598 13966 14644 15106 17264 27196 27932 29288 30212 43409 47593 48881 54392 55864 58576 60424 86818 90779 95186 97762 108784 111728 120848 173636 181558 190372 195524 303863 347272 363116 380744 391048 564317 579589 607726 635453 694544 726232 761488 782096 1128634 1159178 1215452 1270906 1452464 2257268 2318356 2430904 2541812 3652109 3950219 4057123 4514536 4636712 4861808 5083624 7304218 7534657 7900438 8114246 9029072 9273424 10167248 14608436 15069314 15800876 16228492 25564763 29216872 30138628 31601752 32456984 47477417 51129526 52742599 58433744 60277256 63203504 64913968 94954834 102259052 105485198 120554512 189909668 204518104 210970396 303125047 332341919 379819336 409036208 421940792 606250094 664683838 759638672 843881584 1212500188 1329367676 2121875329 2425000376 2658735352 3940625611 4243750658 4850000752 5317470704 7881251222 8487501316 15762502444 16975002632 27584379277 31525004888 33950005264 55168758554 63050009776 110337517108 220675034216 441350068432