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41142003342 = 231123534331181
BaseRepresentation
bin100110010100010000…
…010010011010001110
310221012020221022120120
4212110100102122032
51133224323101332
630522251525410
72654352154416
oct462420223216
9127166838516
1041142003342
11164a2652060
127b82459866
133b5884b89b
141dc4121646
15110bdb832c
hex99441268e

41142003342 has 128 divisors (see below), whose sum is σ = 95735872512. Its totient is φ = 11663308800.

The previous prime is 41142003337. The next prime is 41142003349. The reversal of 41142003342 is 24330024114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142003349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34835992 + ... + 34837172.

It is an arithmetic number, because the mean of its divisors is an integer number (747936504).

Almost surely, 241142003342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142003342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47867936256).

41142003342 is an abundant number, since it is smaller than the sum of its proper divisors (54593869170).

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

41142003342 is a wasteful number, since it uses less digits than its factorization.

41142003342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41142003342 its reverse (24330024114), we get a palindrome (65472027456).

The spelling of 41142003342 in words is "forty-one billion, one hundred forty-two million, three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 53 66 69 106 138 159 253 318 433 506 583 759 866 1166 1181 1219 1299 1518 1749 2362 2438 2598 3498 3543 3657 4763 7086 7314 9526 9959 12991 13409 14289 19918 22949 25982 26818 27163 28578 29877 38973 40227 45898 54326 59754 62593 68847 77946 80454 81489 109549 125186 137694 162978 187779 219098 252439 298793 328647 375558 504878 511373 527827 597586 657294 688523 757317 896379 1022746 1055654 1377046 1439639 1514634 1534119 1583481 1792758 2065569 2879278 3068238 3166962 4131138 4318917 5625103 5806097 8637834 11250206 11612194 11761579 15836029 16875309 17418291 23523158 27102769 31672058 33750618 34836582 35284737 47508087 54205538 70569474 81308307 95016174 129377369 162616614 258754738 298130459 388132107 596260918 623363687 776264214 894391377 1246727374 1788782754 1870091061 3740182122 6857000557 13714001114 20571001671 41142003342