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21041143020234 = 2338954711936709
BaseRepresentation
bin1001100100011000001011…
…10110101111101011001010
32202111111212102201220122000
410302030011312233223022
510224214230103121414
6112430100114211430
74301113065462141
oct462140566575312
982444772656560
1021041143020234
116782553769a97
122439ab8283b76
13b9822c395c5c
1452a57a9ac758
152674dd616b09
hex132305dafaca

21041143020234 has 128 divisors (see below), whose sum is σ = 47416682016000. Its totient is φ = 6915397192704.

The previous prime is 21041143020229. The next prime is 21041143020241. The reversal of 21041143020234 is 43202034114012.

21041143020234 is a `hidden beast` number, since 2 + 1 + 0 + 411 + 43 + 0 + 202 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21041143020198 and 21041143020207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3136252872 + ... + 3136259580.

It is an arithmetic number, because the mean of its divisors is an integer number (370442828250).

Almost surely, 221041143020234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041143020234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708341008000).

21041143020234 is an abundant number, since it is smaller than the sum of its proper divisors (26375538995766).

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

21041143020234 is a wasteful number, since it uses less digits than its factorization.

21041143020234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8543 counting only the distinct ones).

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

Adding to 21041143020234 its reverse (43202034114012), we get a palindrome (64243177134246).

The spelling of 21041143020234 in words is "twenty-one trillion, forty-one billion, one hundred forty-three million, twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 547 801 1094 1193 1602 1641 2386 2403 3282 3579 4806 4923 6709 7158 9846 10737 13418 14769 20127 21474 29538 32211 40254 48683 60381 64422 97366 106177 120762 146049 181143 212354 292098 318531 362286 438147 597101 637062 652571 876294 955593 1194202 1305142 1314441 1791303 1911186 1957713 2628882 2866779 3582606 3669823 3915426 5373909 5733558 5873139 7339646 8003837 10747818 11009469 11746278 16007674 16121727 17619417 22018938 24011511 32243454 33028407 35238834 48023022 58078819 66056814 72034533 99085221 116157638 144069066 174236457 198170442 216103599 326614247 348472914 432207198 522709371 653228494 712341493 979842741 1045418742 1424682986 1568128113 1959685482 2137024479 2939528223 3136256226 4274048958 4378098839 5879056446 6411073437 8756197678 8818584669 12822146874 13134296517 17637169338 19233220311 26268593034 38466440622 39402889551 78805779102 118208668653 236417337306 389650796671 779301593342 1168952390013 2337904780026 3506857170039 7013714340078 10520571510117 21041143020234