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45141351510000 = 243541504711717
BaseRepresentation
bin10100100001110010010100…
…01110001010111111110000
312220211110201101211211122210
422100321022032022333300
521404043441441310000
6240001352310132120
712336232525602444
oct1220711216127760
9186743641754583
1045141351510000
1113424381105189
125090843351040
131c25a71222475
14b20bd2b7c824
1553436bb27350
hex290e4a38aff0

45141351510000 has 100 divisors (see below), whose sum is σ = 145722301617992. Its totient is φ = 12037693728000.

The previous prime is 45141351509993. The next prime is 45141351510007. The reversal of 45141351510000 is 1515314154.

It is an interprime number because it is at equal distance from previous prime (45141351509993) and next prime (45141351510007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×451413515100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 45141351510000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45141351510007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752325859 + ... + 752385858.

Almost surely, 245141351510000 is an apocalyptic number.

45141351510000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45141351510000 is an abundant number, since it is smaller than the sum of its proper divisors (100580950107992).

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

45141351510000 is a wasteful number, since it uses less digits than its factorization.

45141351510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504711748 (or 1504711727 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 45141351510000 its reverse (1515314154), we get a palindrome (45142866824154).

The spelling of 45141351510000 in words is "forty-five trillion, one hundred forty-one billion, three hundred fifty-one million, five hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 1504711717 3009423434 4514135151 6018846868 7523558585 9028270302 12037693736 15047117170 18056540604 22570675755 24075387472 30094234340 36113081208 37617792925 45141351510 60188468680 72226162416 75235585850 90282703020 112853378775 120376937360 150471171700 180565406040 188088964625 225706757550 300942343400 361130812080 376177929250 451413515100 564266893875 601884686800 752355858500 902827030200 940444823125 1128533787750 1504711717000 1805654060400 1880889646250 2257067575500 2821334469375 3009423434000 3761779292500 4514135151000 5642668938750 7523558585000 9028270302000 11285337877500 15047117170000 22570675755000 45141351510000