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243302520144 = 24361791915507
BaseRepresentation
bin1110001010010111110…
…1011101010101010000
3212021000011121121221210
43202211331131111100
512441240421121034
6303434401220120
723402156204265
oct3424575352520
9767004547853
10243302520144
1194202a25532
123b1a1631640
1319c35656b68
14bac112326c
1564ded5a8e9
hex38a5f5d550

243302520144 has 160 divisors (see below), whose sum is σ = 650426941440. Its totient is φ = 78334963200.

The previous prime is 243302520127. The next prime is 243302520163. The reversal of 243302520144 is 441025203342.

It is a super-2 number, since 2×2433025201442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44177839 + ... + 44183345.

It is an arithmetic number, because the mean of its divisors is an integer number (4065168384).

Almost surely, 2243302520144 is an apocalyptic number.

243302520144 is a gapful number since it is divisible by the number (24) 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 243302520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325213470720).

243302520144 is an abundant number, since it is smaller than the sum of its proper divisors (407124421296).

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

243302520144 is a wasteful number, since it uses less digits than its factorization.

243302520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 243302520144 its reverse (441025203342), we get a palindrome (684327723486).

The spelling of 243302520144 in words is "two hundred forty-three billion, three hundred two million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 79 122 158 183 191 237 244 316 366 382 474 488 573 632 732 764 948 976 1146 1264 1464 1528 1896 2292 2928 3056 3792 4584 4819 5507 9168 9638 11014 11651 14457 15089 16521 19276 22028 23302 28914 30178 33042 34953 38552 44056 45267 46604 57828 60356 66084 69906 77104 88112 90534 93208 115656 120712 132168 139812 181068 186416 231312 241424 264336 279624 335927 362136 435053 559248 671854 724272 870106 920429 1007781 1051837 1305159 1343708 1740212 1840858 2015562 2103674 2610318 2687416 2761287 3155511 3480424 3681716 4031124 4207348 5220636 5374832 5522574 6311022 6960848 7363432 8062248 8414696 10441272 11045148 12622044 14726864 16124496 16829392 20882544 22090296 25244088 26538233 44180592 50488176 53076466 64162057 79614699 83095123 106152932 128324114 159229398 166190246 192486171 212305864 249285369 256648228 318458796 332380492 384972342 424611728 498570738 513296456 636917592 664760984 769944684 997141476 1026592912 1273835184 1329521968 1539889368 1994282952 3079778736 3988565904 5068802503 10137605006 15206407509 20275210012 30412815018 40550420024 60825630036 81100840048 121651260072 243302520144