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44145333405400 = 23521451601125307
BaseRepresentation
bin10100000100110011000101…
…11010101000011011011000
312210022020211012001122210011
422002121202322220123120
521241234120322433100
6233520030341331304
712204252341444053
oct1202314272503330
9183266735048704
1044145333405400
111307aa26928237
124b4b7b2a06b34
131b82b6bba9866
14ac89074d5a9a
155184c4c5bbba
hex282662ea86d8

44145333405400 has 96 divisors (see below), whose sum is σ = 102729782105280. Its totient is φ = 17642330960000.

The previous prime is 44145333405359. The next prime is 44145333405409. The reversal of 44145333405400 is 450433354144.

It is a super-2 number, since 2×441453334054002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145333405409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744379547 + ... + 1744404853.

It is an arithmetic number, because the mean of its divisors is an integer number (1070101896930).

Almost surely, 244145333405400 is an apocalyptic number.

44145333405400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44145333405400 is an abundant number, since it is smaller than the sum of its proper divisors (58584448699880).

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

44145333405400 is a wasteful number, since it uses less digits than its factorization.

44145333405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32785 (or 32776 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 44145333405400 its reverse (450433354144), we get a palindrome (44595766759544).

The spelling of 44145333405400 in words is "forty-four trillion, one hundred forty-five billion, three hundred thirty-three million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1451 2902 5804 6011 7255 11608 12022 14510 24044 25307 29020 30055 36275 48088 50614 58040 60110 72550 101228 120220 126535 145100 150275 202456 240440 253070 290200 300550 506140 601100 632675 1012280 1202200 1265350 2530700 5061400 8721961 17443922 34887844 36720457 43609805 69775688 73440914 87219610 146881828 152120377 174439220 183602285 218049025 293763656 304240754 348878440 367204570 436098050 608481508 734409140 760601885 872196100 918011425 1216963016 1468818280 1521203770 1744392200 1836022850 3042407540 3672045700 3803009425 6084815080 7344091400 7606018850 15212037700 30424075400 220726667027 441453334054 882906668108 1103633335135 1765813336216 2207266670270 4414533340540 5518166675675 8829066681080 11036333351350 22072666702700 44145333405400