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20224354135040 = 210511715057707
BaseRepresentation
bin1001001100100110110010…
…11100011010110000000000
32122121102121000100102210122
410212103121130122300000
510122323434124310130
6111002535013515412
74155106230505016
oct446233134326000
978542530312718
1020224354135040
116498111730370
122327747342b68
13b391c10a25b3
144dcc14a008b6
152511364502e5
hex1264d971ac00

20224354135040 has 176 divisors, whose sum is σ = 53670616982784. Its totient is φ = 7250727321600.

The previous prime is 20224354134979. The next prime is 20224354135079. The reversal of 20224354135040 is 4053145342202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

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, 1469867 + ... + 6527573.

Almost surely, 220224354135040 is an apocalyptic number.

20224354135040 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 20224354135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26835308491392).

20224354135040 is an abundant number, since it is smaller than the sum of its proper divisors (33446262847744).

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

20224354135040 is a wasteful number, since it uses less digits than its factorization.

20224354135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057814 (or 5057796 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 20224354135040 its reverse (4053145342202), we get a palindrome (24277499477242).

The spelling of 20224354135040 in words is "twenty trillion, two hundred twenty-four billion, three hundred fifty-four million, one hundred thirty-five thousand, forty".