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41234414430 = 235111760712109
BaseRepresentation
bin100110011001110000…
…110011101101011110
310221102200211021202110
4212121300303231132
51133422002230210
630535352334450
72656553511456
oct463160635536
9127380737673
1041234414430
111653a82a960
127ba93a4426
133b71a360c1
141dd24d8d66
15111506e420
hex999c33b5e

41234414430 has 128 divisors (see below), whose sum is σ = 114507509760. Its totient is φ = 9391933440.

The previous prime is 41234414423. The next prime is 41234414443. The reversal of 41234414430 is 3441443214.

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, 3399216 + ... + 3411324.

It is an arithmetic number, because the mean of its divisors is an integer number (894589920).

Almost surely, 241234414430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41234414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253754880).

41234414430 is an abundant number, since it is smaller than the sum of its proper divisors (73273095330).

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

41234414430 is a wasteful number, since it uses less digits than its factorization.

41234414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754.

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

Adding to 41234414430 its reverse (3441443214), we get a palindrome (44675857644).

The spelling of 41234414430 in words is "forty-one billion, two hundred thirty-four million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 607 935 1122 1214 1821 1870 2805 3035 3642 5610 6070 6677 9105 10319 12109 13354 18210 20031 20638 24218 30957 33385 36327 40062 51595 60545 61914 66770 72654 100155 103190 113509 121090 133199 154785 181635 200310 205853 227018 266398 309570 340527 363270 399597 411706 567545 617559 665995 681054 799194 1029265 1135090 1235118 1331990 1702635 1997985 2058530 2264383 3087795 3405270 3995970 4528766 6175590 6793149 7350163 11321915 13586298 14700326 22050489 22643830 33965745 36750815 44100978 67931490 73501630 80851793 110252445 124952771 161703586 220504890 242555379 249905542 374858313 404258965 485110758 624763855 749716626 808517930 1212776895 1249527710 1374480481 1874291565 2425553790 2748960962 3748583130 4123441443 6872402405 8246882886 13744804810 20617207215 41234414430