Search a number
-
+
1030301334144 = 27331717536447
BaseRepresentation
bin11101111111000101011…
…11101011101010000000
310122111101110201200121000
432333202233223222000
5113340024120143034
62105151445132000
7134302553562045
oct16774257535200
93574343650530
101030301334144
11367a48274805
121478199ba000
1376206c07a64
1437c1c8d11cc
151bc01a64599
hexefe2beba80

1030301334144 has 128 divisors (see below), whose sum is σ = 3219691852800. Its totient is φ = 323231772672.

The previous prime is 1030301334131. The next prime is 1030301334157. The reversal of 1030301334144 is 4414331030301.

1030301334144 is a `hidden beast` number, since 1 + 0 + 303 + 0 + 13 + 341 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1030301334131) and next prime (1030301334157).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8709472 + ... + 8826975.

It is an arithmetic number, because the mean of its divisors is an integer number (25153842600).

Almost surely, 21030301334144 is an apocalyptic number.

It is an amenable number.

1030301334144 is an abundant number, since it is smaller than the sum of its proper divisors (2189390518656).

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

1030301334144 is a wasteful number, since it uses less digits than its factorization.

1030301334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536487 (or 17536469 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1030301334144 its reverse (4414331030301), we get a palindrome (5444632364445).

The spelling of 1030301334144 in words is "one trillion, thirty billion, three hundred one million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 17536447 35072894 52609341 70145788 105218682 140291576 157828023 210437364 280583152 298119599 315656046 420874728 473484069 561166304 596239198 631312092 841749456 894358797 946968138 1122332608 1192478396 1262624184 1683498912 1788717594 1893936276 2244665216 2384956792 2525248368 2683076391 3366997824 3577435188 3787872552 4769913584 5050496736 5366152782 6733995648 7154870376 7575745104 8049229173 9539827168 10100993472 10732305564 14309740752 15151490208 16098458346 19079654336 20201986944 21464611128 28619481504 30302980416 32196916692 38159308672 42929222256 57238963008 60605960832 64393833384 85858444512 114477926016 128787666768 171716889024 257575333536 343433778048 515150667072 1030301334144