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14510023414000 = 245328183930773
BaseRepresentation
bin1101001100100110000011…
…0010101001000011110000
31220101010220110221212002121
43103021200302221003300
53400213011443222000
650505451314524024
73025212623010322
oct323114062510360
956333813855077
1014510023414000
114694736a3a404
121764181596614
1381339b89950a
1438240898b612
151a268b9b6b1a
hexd3260ca90f0

14510023414000 has 160 divisors (see below), whose sum is σ = 35253207400320. Its totient is φ = 5776273664000.

The previous prime is 14510023413997. The next prime is 14510023414009. The reversal of 14510023414000 is 41432001541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14510023414009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471502614 + ... + 471533386.

It is an arithmetic number, because the mean of its divisors is an integer number (220332546252).

Almost surely, 214510023414000 is an apocalyptic number.

14510023414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14510023414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626603700160).

14510023414000 is an abundant number, since it is smaller than the sum of its proper divisors (20743183986320).

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

14510023414000 is a wasteful number, since it uses less digits than its factorization.

14510023414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31916 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14510023414000 its reverse (41432001541), we get a palindrome (14551455415541).

The spelling of 14510023414000 in words is "fourteen trillion, five hundred ten billion, twenty-three million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 281 400 500 562 839 1000 1124 1405 1678 2000 2248 2810 3356 4195 4496 5620 6712 7025 8390 11240 13424 14050 16780 20975 22480 28100 30773 33560 35125 41950 56200 61546 67120 70250 83900 104875 112400 123092 140500 153865 167800 209750 235759 246184 281000 307730 335600 419500 471518 492368 562000 615460 769325 839000 943036 1178795 1230920 1538650 1678000 1886072 2357590 2461840 3077300 3772144 3846625 4715180 5893975 6154600 7693250 8647213 9430360 11787950 12309200 15386500 17294426 18860720 23575900 25818547 29469875 30773000 34588852 43236065 47151800 51637094 58939750 61546000 69177704 86472130 94303600 103274188 117879500 129092735 138355408 172944260 206548376 216180325 235759000 258185470 345888520 413096752 432360650 471518000 516370940 645463675 691777040 864721300 1032741880 1080901625 1290927350 1729442600 2065483760 2161803250 2581854700 3227318375 3458885200 4323606500 5163709400 6454636750 7255011707 8647213000 10327418800 12909273500 14510023414 17294426000 25818547000 29020046828 36275058535 51637094000 58040093656 72550117070 116080187312 145100234140 181375292675 290200468280 362750585350 580400936560 725501170700 906876463375 1451002341400 1813752926750 2902004682800 3627505853500 7255011707000 14510023414000