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10134344440 = 2351123032601
BaseRepresentation
bin10010111000000110…
…11101001011111000
3222011021120001001101
421130003131023320
5131223343010230
64353342101144
7506065335463
oct113403351370
928137501041
1010134344440
114330633a80
121b69b7a7b4
13c5679751c
146c1d342da
153e4a98aca
hex25c0dd2f8

10134344440 has 32 divisors (see below), whose sum is σ = 24875210160. Its totient is φ = 3685216000.

The previous prime is 10134344401. The next prime is 10134344443. The reversal of 10134344440 is 4444343101.

It is a happy number.

10134344440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10134344399 and 10134344408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134344443) 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 7 ways as a sum of consecutive naturals, for example, 11515861 + ... + 11516740.

Almost surely, 210134344440 is an apocalyptic number.

10134344440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134344440 is an abundant number, since it is smaller than the sum of its proper divisors (14740865720).

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

10134344440 is a wasteful number, since it uses less digits than its factorization.

10134344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23032623 (or 23032619 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10134344440 its reverse (4444343101), we get a palindrome (14578687541).

The spelling of 10134344440 in words is "ten billion, one hundred thirty-four million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23032601 46065202 92130404 115163005 184260808 230326010 253358611 460652020 506717222 921304040 1013434444 1266793055 2026868888 2533586110 5067172220 10134344440