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41414243430 = 23571574632713
BaseRepresentation
bin100110100100011110…
…110011010001100110
310221220020012112202210
4212210132303101212
51134304021242210
631005254544250
72664166155330
oct464436632146
9127806175683
1041414243430
111662229606a
128039668086
133ba007a1b1
14200c34a450
151125c41e20
hex9a47b3466

41414243430 has 128 divisors (see below), whose sum is σ = 114606010368. Its totient is φ = 9382044672.

The previous prime is 41414243393. The next prime is 41414243443. The reversal of 41414243430 is 3434241414.

41414243430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15263754 + ... + 15266466.

It is an arithmetic number, because the mean of its divisors is an integer number (895359456).

Almost surely, 241414243430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41414243430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57303005184).

41414243430 is an abundant number, since it is smaller than the sum of its proper divisors (73191766938).

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

41414243430 is a wasteful number, since it uses less digits than its factorization.

41414243430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41414243430 its reverse (3434241414), we get a palindrome (44848484844).

The spelling of 41414243430 in words is "forty-one billion, four hundred fourteen million, two hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 157 210 314 463 471 785 926 942 1099 1389 1570 2198 2315 2355 2713 2778 3241 3297 4630 4710 5426 5495 6482 6594 6945 8139 9723 10990 13565 13890 16205 16278 16485 18991 19446 27130 32410 32970 37982 40695 48615 56973 72691 81390 94955 97230 113946 145382 189910 218073 284865 363455 425941 436146 508837 569730 726910 851882 1017674 1090365 1256119 1277823 1526511 2129705 2180730 2512238 2544185 2555646 2981587 3053022 3768357 4259410 5088370 5963174 6280595 6389115 7536714 7632555 8792833 8944761 12561190 12778230 14907935 15265110 17585666 17889522 18841785 26378499 29815870 37683570 43964165 44723805 52756998 87928330 89447610 131892495 197210683 263784990 394421366 591632049 986053415 1183264098 1380474781 1972106830 2760949562 2958160245 4141424343 5916320490 6902373905 8282848686 13804747810 20707121715 41414243430