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1012140144 = 24332399803
BaseRepresentation
bin111100010101000…
…000100001110000
32121112112001021000
4330111000201300
54033101441034
6244233402000
734040022621
oct7425004160
92545461230
101012140144
1147a365964
12242b69300
131318cabc2
14985cba48
155dccd599
hex3c540870

1012140144 has 80 divisors (see below), whose sum is σ = 2917670400. Its totient is φ = 335934144.

The previous prime is 1012140119. The next prime is 1012140197. The reversal of 1012140144 is 4410412101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98347 + ... + 108149.

It is an arithmetic number, because the mean of its divisors is an integer number (36470880).

Almost surely, 21012140144 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 1012140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458835200).

1012140144 is an abundant number, since it is smaller than the sum of its proper divisors (1905530256).

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

1012140144 is a wasteful number, since it uses less digits than its factorization.

1012140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1012140144 is about 31814.1500593682. The cubic root of 1012140144 is about 1004.0304483287.

Adding to 1012140144 its reverse (4410412101), we get a palindrome (5422552245).

The spelling of 1012140144 in words is "one billion, twelve million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 717 956 1434 1912 2151 2868 3824 4302 5736 6453 8604 9803 11472 12906 17208 19606 25812 29409 34416 39212 51624 58818 78424 88227 103248 117636 156848 176454 235272 264681 352908 470544 529362 705816 1058724 1411632 2117448 2342917 4234896 4685834 7028751 9371668 14057502 18743336 21086253 28115004 37486672 42172506 56230008 63258759 84345012 112460016 126517518 168690024 253035036 337380048 506070072 1012140144