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297014231040 = 21535604277
BaseRepresentation
bin1000101001001110110…
…11011000000000000000
31001101122102200020201120
410110213123120000000
514331241120343130
6344240233432240
730313201210512
oct4244733300000
91041572606646
10297014231040
11104a6587694a
124969156b680
132201538aa07
14105387a1bb2
157ad54cb910
hex45276d8000

297014231040 has 128 divisors (see below), whose sum is σ = 950432609520. Its totient is φ = 79203663872.

The previous prime is 297014231027. The next prime is 297014231089. The reversal of 297014231040 is 40132410792.

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

It is a junction number, because it is equal to n+sod(n) for n = 297014230992 and 297014231010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189382 + ... + 793658.

Almost surely, 2297014231040 is an apocalyptic number.

297014231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297014231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475216304760).

297014231040 is an abundant number, since it is smaller than the sum of its proper divisors (653418378480).

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

297014231040 is an frugal number, since it uses more digits than its factorization.

297014231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604315 (or 604287 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 297014231040 in words is "two hundred ninety-seven billion, fourteen million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 81920 98304 122880 163840 245760 491520 604277 1208554 1812831 2417108 3021385 3625662 4834216 6042770 7251324 9064155 9668432 12085540 14502648 18128310 19336864 24171080 29005296 36256620 38673728 48342160 58010592 72513240 77347456 96684320 116021184 145026480 154694912 193368640 232042368 290052960 309389824 386737280 464084736 580105920 618779648 773474560 928169472 1160211840 1237559296 1546949120 1856338944 2320423680 2475118592 3093898240 3712677888 4640847360 4950237184 6187796480 7425355776 9281694720 9900474368 12375592960 14850711552 18563389440 19800948736 24751185920 29701423104 37126778880 49502371840 59402846208 74253557760 99004743680 148507115520 297014231040