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10154440440 = 23325593891229
BaseRepresentation
bin10010111010100000…
…00111011011111000
3222012200101000120200
421131100013123320
5131244014043230
64355340522200
7506431214424
oct113520073370
928180330520
1010154440440
114340a0a441
121b74850360
13c5a9b2551
146c4885b84
153e6718160
hex25d4076f8

10154440440 has 192 divisors, whose sum is σ = 33674940000. Its totient is φ = 2652951552.

The previous prime is 10154440421. The next prime is 10154440447. The reversal of 10154440440 is 4404445101.

10154440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101544404402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154440447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8261746 + ... + 8262974.

Almost surely, 210154440440 is an apocalyptic number.

10154440440 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 10154440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837470000).

10154440440 is an abundant number, since it is smaller than the sum of its proper divisors (23520499560).

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

10154440440 is a wasteful number, since it uses less digits than its factorization.

10154440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10154440440 its reverse (4404445101), we get a palindrome (14558885541).

The spelling of 10154440440 in words is "ten billion, one hundred fifty-four million, four hundred forty thousand, four hundred forty".