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21144032040 = 2335330753281
BaseRepresentation
bin10011101100010010…
…000101001100101000
32000120120020010011210
4103230102011030220
5321300333011130
613414033553120
71345653210165
oct235422051450
960516203153
1021144032040
118a7028924a
1241211157a0
131cbc704481
14104820706c
1583b3ed5b0
hex4ec485328

21144032040 has 64 divisors (see below), whose sum is σ = 63452468160. Its totient is φ = 5636597760.

The previous prime is 21144032023. The next prime is 21144032051. The reversal of 21144032040 is 4023044112.

It is a junction number, because it is equal to n+sod(n) for n = 21144031998 and 21144032016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370200 + ... + 423480.

It is an arithmetic number, because the mean of its divisors is an integer number (991444815).

Almost surely, 221144032040 is an apocalyptic number.

21144032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144032040 is an abundant number, since it is smaller than the sum of its proper divisors (42308436120).

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

21144032040 is a wasteful number, since it uses less digits than its factorization.

21144032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56602 (or 56598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21144032040 its reverse (4023044112), we get a palindrome (25167076152).

The spelling of 21144032040 in words is "twenty-one billion, one hundred forty-four million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3307 6614 9921 13228 16535 19842 26456 33070 39684 49605 53281 66140 79368 99210 106562 132280 159843 198420 213124 266405 319686 396840 426248 532810 639372 799215 1065620 1278744 1598430 2131240 3196860 6393720 176200267 352400534 528600801 704801068 881001335 1057201602 1409602136 1762002670 2114403204 2643004005 3524005340 4228806408 5286008010 7048010680 10572016020 21144032040