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41444020134100 = 225217222130233631
BaseRepresentation
bin10010110110001011100000…
…00110010010000011010100
312102202000021000120022112101
421123011300012102003110
520413004323123242400
6224051041531131444
711505142311466123
oct1133056006220324
9172660230508471
1041444020134100
1112229345a16681
1247941665a3b84
131a182010a4a5c
14a33c89167aba
154bd0c276456a
hex25b1701920d4

41444020134100 has 144 divisors (see below), whose sum is σ = 95324364850176. Its totient is φ = 15585977088000.

The previous prime is 41444020134073. The next prime is 41444020134103. The reversal of 41444020134100 is 143102044414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41444020134103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11413939285 + ... + 11413942915.

It is an arithmetic number, because the mean of its divisors is an integer number (661974755904).

Almost surely, 241444020134100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41444020134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47662182425088).

41444020134100 is an abundant number, since it is smaller than the sum of its proper divisors (53880344716076).

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

41444020134100 is a wasteful number, since it uses less digits than its factorization.

41444020134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41444020134100 its reverse (143102044414), we get a palindrome (41587122178514).

The spelling of 41444020134100 in words is "forty-one trillion, four hundred forty-four billion, twenty million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2221 3023 3631 4442 6046 7262 8884 11105 12092 14524 15115 18155 22210 30230 36310 37757 44420 51391 55525 60460 61727 72620 75514 75575 90775 102782 111050 123454 151028 151150 181550 188785 205564 222100 246908 256955 302300 308635 363100 377570 513910 617270 755140 943925 1027820 1234540 1284775 1543175 1887850 2569550 3086350 3775700 5139100 6172700 6714083 8064451 10976513 13428166 16128902 21953026 26856332 32257804 33570415 40322255 43906052 54882565 67140830 80644510 109765130 114139411 134281660 137095667 161289020 167852075 186600721 201611275 219530260 228278822 274191334 274412825 335704150 373201442 403222550 456557644 548382668 548825650 570697055 671408300 685478335 746402884 806445100 933003605 1097651300 1141394110 1370956670 1866007210 2282788220 2741913340 2853485275 3427391675 3732014420 4665018025 5706970550 6854783350 9330036050 11413941100 13709566700 18660072100 24378835373 48757670746 97515341492 121894176865 243788353730 414440201341 487576707460 609470884325 828880402682 1218941768650 1657760805364 2072201006705 2437883537300 4144402013410 8288804026820 10361005033525 20722010067050 41444020134100