Search a number
-
+
41053352142 = 23112233179309
BaseRepresentation
bin100110001110111110…
…000111000011001110
310220222002010100222210
4212032332013003032
51133034124232032
630505403451250
72652224510205
oct461676070316
9126862110883
1041053352142
1116457602100
127b58826b26
133b4337c85a
141db644623c
1511042062cc
hex98ef870ce

41053352142 has 96 divisors (see below), whose sum is σ = 97212487680. Its totient is φ = 11515521600.

The previous prime is 41053352129. The next prime is 41053352167. The reversal of 41053352142 is 24125335014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477984 + ... + 557292.

It is an arithmetic number, because the mean of its divisors is an integer number (1012630080).

Almost surely, 241053352142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41053352142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48606243840).

41053352142 is an abundant number, since it is smaller than the sum of its proper divisors (56159135538).

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

41053352142 is a wasteful number, since it uses less digits than its factorization.

41053352142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79390 (or 79379 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 41053352142 its reverse (24125335014), we get a palindrome (65178687156).

The spelling of 41053352142 in words is "forty-one billion, fifty-three million, three hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 121 138 186 242 253 341 363 506 682 713 726 759 1023 1426 1518 2046 2139 2783 3751 4278 5566 7502 7843 8349 11253 15686 16698 22506 23529 47058 79309 86273 158618 172546 237927 258819 475854 517638 872399 1744798 1824107 2458579 2617197 3648214 4917158 5234394 5472321 7375737 9596389 10944642 14751474 19192778 20065177 27044369 28789167 40130354 54088738 56547317 57578334 60195531 81133107 113094634 120391062 162266214 169641951 220716947 297488059 339283902 441433894 594976118 622020487 662150841 892464177 1244040974 1324301682 1784928354 1866061461 3732122922 6842225357 13684450714 20526676071 41053352142