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214143100203024 = 243267204111087433
BaseRepresentation
bin110000101100001100010011…
…011010110011000000010000
31001002012212202211211112010100
4300230030103122303000100
5211032010032122444044
62035235552050332400
763051220436436306
oct6054142332630020
91032185684745110
10214143100203024
1162261640402533
122002644ab8a100
1392647b9171375
143ac481d32c276
1519b5547e47869
hexc2c3136b3010

214143100203024 has 120 divisors (see below), whose sum is σ = 608278443750432. Its totient is φ = 70312135196160.

The previous prime is 214143100202959. The next prime is 214143100203029. The reversal of 214143100203024 is 420302001341412.

214143100203024 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 431 + 0 + 0 + 203 + 0 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (214143100203029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196381612 + ... + 197469044.

Almost surely, 2214143100203024 is an apocalyptic number.

214143100203024 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 214143100203024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304139221875216).

214143100203024 is an abundant number, since it is smaller than the sum of its proper divisors (394135343547408).

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

214143100203024 is a wasteful number, since it uses less digits than its factorization.

214143100203024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107925 (or 1107916 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214143100203024 its reverse (420302001341412), we get a palindrome (634445101544436).

The spelling of 214143100203024 in words is "two hundred fourteen trillion, one hundred forty-three billion, one hundred million, two hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 20411 40822 61233 81644 122466 163288 183699 244932 326576 367398 489864 734796 979728 1087433 1367537 1469592 2174866 2735074 2939184 3262299 4102611 4349732 5470148 6524598 8205222 8699464 9786897 10940296 12307833 13049196 16410444 17398928 19573794 21880592 24615666 26098392 32820888 39147588 49231332 52196784 65641776 72858011 78295176 98462664 145716022 156590352 196925328 218574033 291432044 437148066 582864088 655722099 874296132 1165728176 1311444198 1748592264 2622888396 3497184528 5245776792 10491553584 22195594963 44391189926 66586784889 88782379852 133173569778 177564759704 199760354667 266347139556 355129519408 399520709334 532694279112 799041418668 1065388558224 1487104862521 1598082837336 2974209725042 3196165674672 4461314587563 5948419450084 8922629175126 11896838900168 13383943762689 17845258350252 23793677800336 26767887525378 35690516700504 53535775050756 71381033401008 107071550101512 214143100203024