Search a number
-
+
41412033021414 = 231147151601147107
BaseRepresentation
bin10010110101001111111011…
…00001001000010111100110
312102121221200210011122000010
421122213331201020113212
520411443320423141124
6224024231512231050
711502630532511616
oct1132477541102746
9172557623148003
1041412033021414
1112216821038460
124789b1a09b486
131a151a4128443
14a324d2c5aa46
154bc34e471529
hex25a9fd8485e6

41412033021414 has 128 divisors (see below), whose sum is σ = 93042227625984. Its totient is φ = 12180376800000.

The previous prime is 41412033021353. The next prime is 41412033021431.

It is a happy number.

41412033021414 is nontrivially palindromic in base 10.

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, 281436049 + ... + 281583155.

It is an arithmetic number, because the mean of its divisors is an integer number (726892403328).

Almost surely, 241412033021414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41412033021414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46521113812992).

41412033021414 is an abundant number, since it is smaller than the sum of its proper divisors (51630194604570).

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

41412033021414 is a wasteful number, since it uses less digits than its factorization.

41412033021414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147922.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4141203 and 3021414, that added together give a palindrome (7162617).

The spelling of 41412033021414 in words is "forty-one trillion, four hundred twelve billion, thirty-three million, twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 151 282 302 453 517 601 906 1034 1202 1551 1661 1803 3102 3322 3606 4983 6611 7097 9966 13222 14194 19833 21291 28247 39666 42582 56494 78067 84741 90751 147107 156134 169482 181502 234201 272253 294214 310717 441321 468402 544506 621434 882642 932151 998261 1618177 1864302 1996522 2994783 3236354 4265297 4854531 5989566 6914029 8530594 9709062 12795891 13828058 20742087 22213157 25591782 41484174 44426314 46918267 66639471 76054319 88411307 93836534 133278942 140754801 152108638 176822614 228162957 244344727 265233921 281509602 456325914 488689454 530467842 733034181 972524377 1044018379 1466068362 1945048754 2088036758 2917573131 3132055137 4155331429 5835146262 6264110274 8310662858 11484202169 12465994287 13350107357 22968404338 24931988574 26700214714 34452606507 40050322071 45708645719 68905213014 80100644142 91417291438 137125937157 146851180927 274251874314 293702361854 440553542781 627455045779 881107085562 1254910091558 1882365137337 3764730274674 6902005503569 13804011007138 20706016510707 41412033021414