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21040145280 = 273557211251
BaseRepresentation
bin10011100110000101…
…110010001110000000
32000022022202010100000
4103212011302032000
5321042234122110
613355443200000
71343252166300
oct234605621600
960268663300
1021040145280
118a17682620
1240b2376000
131ca402c80b
1410384c3600
1583222c1c0
hex4e6172380

21040145280 has 1152 divisors, whose sum is σ = 95995186560. Its totient is φ = 4354560000.

The previous prime is 21040145267. The next prime is 21040145281. The reversal of 21040145280 is 8254104012.

21040145280 is a `hidden beast` number, since 210 + 401 + 45 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040145281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83825155 + ... + 83825405.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 221040145280 is an apocalyptic number.

21040145280 is a gapful number since it is divisible by the number (20) 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 21040145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47997593280).

21040145280 is an abundant number, since it is smaller than the sum of its proper divisors (74955041280).

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

21040145280 is a wasteful number, since it uses less digits than its factorization.

21040145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 21040145280 its reverse (8254104012), we get a palindrome (29294249292).

The spelling of 21040145280 in words is "twenty-one billion, forty million, one hundred forty-five thousand, two hundred eighty".