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14253584100700 = 22527411272139041
BaseRepresentation
bin1100111101101010101111…
…0100010010110101011100
31212110121222210010222202011
43033122223310102311130
53332012320012210300
650152001154241004
73000534046552360
oct317325364226534
955417883128664
1014253584100700
1145a5a026a882a
121722534586164
137c5151717189
14373c3cc912a0
1519ab7d6d7eba
hexcf6abd12d5c

14253584100700 has 144 divisors (see below), whose sum is σ = 36214830727488. Its totient is φ = 4767252480000.

The previous prime is 14253584100641. The next prime is 14253584100709. The reversal of 14253584100700 is 700148535241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14253584100709) 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, 365073180 + ... + 365112220.

It is an arithmetic number, because the mean of its divisors is an integer number (251491880052).

Almost surely, 214253584100700 is an apocalyptic number.

14253584100700 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 14253584100700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107415363744).

14253584100700 is an abundant number, since it is smaller than the sum of its proper divisors (21961246626788).

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

14253584100700 is a wasteful number, since it uses less digits than its factorization.

14253584100700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51824 (or 51817 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 14253584100700 in words is "fourteen trillion, two hundred fifty-three billion, five hundred eighty-four million, one hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 12721 14350 25442 28700 39041 50884 63605 78082 89047 127210 156164 178094 195205 254420 273287 318025 356188 390410 445235 521561 546574 636050 780820 890470 976025 1043122 1093148 1272100 1366435 1600681 1780940 1952050 2086244 2226175 2607805 2732870 3201362 3650927 3904100 4452350 5215610 5465740 6402724 6832175 7301854 8003405 8904700 10431220 11204767 13039025 13664350 14603708 16006810 18254635 22409534 26078050 27328700 32013620 36509270 40017025 44819068 52156100 56023835 73018540 80034050 91273175 112047670 160068100 182546350 224095340 280119175 365092700 496640561 560238350 993281122 1120476700 1986562244 2483202805 3476483927 4966405610 6952967854 9932811220 12416014025 13905935708 17382419635 20362263001 24832028050 34764839270 40724526002 49664056100 69529678540 81449052004 86912098175 101811315005 142535841007 173824196350 203622630010 285071682014 347648392700 407245260020 509056575025 570143364028 712679205035 1018113150050 1425358410070 2036226300100 2850716820140 3563396025175 7126792050350 14253584100700