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1040342144 = 27312391097
BaseRepresentation
bin111110000000100…
…101110010000000
32200111120212010112
4332000211302000
54112311422034
6251122050452
734531522322
oct7600456200
92614525115
101040342144
114942784a6
122504a9a28
131376c368a
149c24d612
15614ee7ce
hex3e025c80

1040342144 has 64 divisors (see below), whose sum is σ = 2150323200. Its totient is φ = 500828160.

The previous prime is 1040342119. The next prime is 1040342153. The reversal of 1040342144 is 4412430401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947804 + ... + 948900.

It is an arithmetic number, because the mean of its divisors is an integer number (33598800).

Almost surely, 21040342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075161600).

1040342144 is an abundant number, since it is smaller than the sum of its proper divisors (1109981056).

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

1040342144 is a wasteful number, since it uses less digits than its factorization.

1040342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1040342144 is about 32254.3352745022. The cubic root of 1040342144 is about 1013.2704962574.

Adding to 1040342144 its reverse (4412430401), we get a palindrome (5452772545).

The spelling of 1040342144 in words is "one billion, forty million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 239 248 478 496 956 992 1097 1912 1984 2194 3824 3968 4388 7409 7648 8776 14818 15296 17552 29636 30592 34007 35104 59272 68014 70208 118544 136028 140416 237088 262183 272056 474176 524366 544112 948352 1048732 1088224 2097464 2176448 4194928 4352896 8127673 8389856 16255346 16779712 32510692 33559424 65021384 130042768 260085536 520171072 1040342144