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1350714144 = 253133134913
BaseRepresentation
bin101000010000010…
…0100001100100000
310111010121101110210
41100200210030200
510231240323034
6342010254120
745320611053
oct12040441440
93433541423
101350714144
1163349658a
12318427340
13186ab3450
14cb562a9a
157d8ab8e9
hex50824320

1350714144 has 96 divisors (see below), whose sum is σ = 3941650944. Its totient is φ = 402186240.

The previous prime is 1350714137. The next prime is 1350714173. The reversal of 1350714144 is 4414170531.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232 + ... + 56144.

It is an arithmetic number, because the mean of its divisors is an integer number (41058864).

Almost surely, 21350714144 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 1350714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970825472).

1350714144 is an abundant number, since it is smaller than the sum of its proper divisors (2590936800).

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

1350714144 is a wasteful number, since it uses less digits than its factorization.

1350714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34970 (or 34962 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1350714144 is about 36752.0631257621. The cubic root of 1350714144 is about 1105.4042988670.

Adding to 1350714144 its reverse (4414170531), we get a palindrome (5764884675).

The spelling of 1350714144 in words is "one billion, three hundred fifty million, seven hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 34913 38688 69826 104739 139652 209478 279304 418956 453869 558608 837912 907738 1082303 1117216 1361607 1675824 1815476 2164606 2723214 3246909 3351648 3630952 4329212 5446428 6493818 7261904 8658424 10892856 12987636 14069939 14523808 17316848 21785712 25975272 28139878 34633696 42209817 43571424 51950544 56279756 84419634 103901088 112559512 168839268 225119024 337678536 450238048 675357072 1350714144