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19740342440 = 23571323113457
BaseRepresentation
bin10010011000100111…
…011011100010101000
31212221201221022001002
4102120213123202220
5310412011424230
613022452014132
71266120066530
oct223047334250
955851838032
1019740342440
11840a9aa4a5
1239ab001348
131b27963500
14d53a144c0
157a807a545
hex4989db8a8

19740342440 has 192 divisors, whose sum is σ = 56743234560. Its totient is φ = 6045511680.

The previous prime is 19740342439. The next prime is 19740342443. The reversal of 19740342440 is 4424304791.

It is a happy number.

It is a super-2 number, since 2×197403424402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19740342394 and 19740342403.

It is not an unprimeable number, because it can be changed into a prime (19740342443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460192 + ... + 1473648.

It is an arithmetic number, because the mean of its divisors is an integer number (295537680).

Almost surely, 219740342440 is an apocalyptic number.

19740342440 is a gapful number since it is divisible by the number (10) 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 19740342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28371617280).

19740342440 is an abundant number, since it is smaller than the sum of its proper divisors (37002892120).

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

19740342440 is a wasteful number, since it uses less digits than its factorization.

19740342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 19740342440 in words is "nineteen billion, seven hundred forty million, three hundred forty-two thousand, four hundred forty".