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1013334144 = 27319138889
BaseRepresentation
bin111100011001100…
…100000010000000
32121121202201010020
4330121210002000
54033403143034
6244315133440
734053124644
oct7431440200
92547681106
101013334144
11480000a39
12243444280
13131c28504
149881cc24
155de67249
hex3c664080

1013334144 has 64 divisors (see below), whose sum is σ = 2833356000. Its totient is φ = 319997952.

The previous prime is 1013334137. The next prime is 1013334233. The reversal of 1013334144 is 4414333101.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62149 + ... + 76740.

Almost surely, 21013334144 is an apocalyptic number.

It is an amenable number.

1013334144 is an abundant number, since it is smaller than the sum of its proper divisors (1820021856).

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

1013334144 is a wasteful number, since it uses less digits than its factorization.

1013334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138925 (or 138913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1013334144 is about 31832.9097633251. The cubic root of 1013334144 is about 1004.4251042357.

Adding to 1013334144 its reverse (4414333101), we get a palindrome (5427667245).

The spelling of 1013334144 in words is "one billion, thirteen million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 138889 277778 416667 555556 833334 1111112 1666668 2222224 2638891 3333336 4444448 5277782 6666672 7916673 8888896 10555564 13333344 15833346 17777792 21111128 26666688 31666692 42222256 53333376 63333384 84444512 126666768 168889024 253333536 337778048 506667072 1013334144