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14535064543000 = 2353192311331027
BaseRepresentation
bin1101001110000011010101…
…0110111101111100011000
31220110112112122021000021211
43103200311112331330120
53401120303010334000
650525152205112504
73030060310051321
oct323406526757430
956415478230254
1014535064543000
1146a4317008241
121768bab858734
1381585c7a3401
1438370259d448
151a31550b07ba
hexd38355bdf18

14535064543000 has 128 divisors (see below), whose sum is σ = 35817759244800. Its totient is φ = 5505624432000.

The previous prime is 14535064542989. The next prime is 14535064543001. The reversal of 14535064543000 is 34546053541.

It is a super-3 number, since 3×145350645430003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 (14535064543001) 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, 43743487 + ... + 44074513.

It is an arithmetic number, because the mean of its divisors is an integer number (279826244100).

Almost surely, 214535064543000 is an apocalyptic number.

14535064543000 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 14535064543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908879622400).

14535064543000 is an abundant number, since it is smaller than the sum of its proper divisors (21282694701800).

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

14535064543000 is a wasteful number, since it uses less digits than its factorization.

14535064543000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333378 (or 333364 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 14535064543000 in words is "fourteen trillion, five hundred thirty-five billion, sixty-four million, five hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2311 2375 3800 4622 4750 9244 9500 11555 18488 19000 23110 43909 46220 57775 87818 92440 115550 175636 219545 231100 288875 331027 351272 439090 462200 577750 662054 878180 1097725 1155500 1324108 1655135 1756360 2195450 2311000 2648216 3310270 4390900 5488625 6289513 6620540 8275675 8781800 10977250 12579026 13241080 16551350 21954500 25158052 31447565 33102700 41378375 43909000 50316104 62895130 66205400 82756750 125790260 157237825 165513500 251580520 314475650 331027000 628951300 765003397 786189125 1257902600 1530006794 1572378250 3060013588 3144756500 3825016985 6120027176 6289513000 7650033970 14535064543 15300067940 19125084925 29070129086 30600135880 38250169850 58140258172 72675322715 76500339700 95625424625 116280516344 145350645430 153000679400 191250849250 290701290860 363376613575 382501698500 581402581720 726753227150 765003397000 1453506454300 1816883067875 2907012908600 3633766135750 7267532271500 14535064543000