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230034044006400 = 212352748808737
BaseRepresentation
bin110100010011011011111001…
…011110101011000000000000
31010011111001002001010112022110
4310103123321132223000000
5220122334210231201100
62133124103025535320
766311261024212014
oct6423337136530000
91104431061115273
10230034044006400
1167328987959287
122197217baa4540
139b4816a851bca
1440b39c8546544
151b8daa7a0b250
hexd136f97ab000

230034044006400 has 156 divisors (see below), whose sum is σ = 760553054246792. Its totient is φ = 61342411653120.

The previous prime is 230034044006399. The next prime is 230034044006419. The reversal of 230034044006400 is 4600440430032.

It is a super-2 number, since 2×2300340440064002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374097169 + ... + 374711568.

Almost surely, 2230034044006400 is an apocalyptic number.

230034044006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230034044006400 is an abundant number, since it is smaller than the sum of its proper divisors (530519010240392).

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

230034044006400 is an equidigital number, since it uses as much as digits as its factorization.

230034044006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748808774 (or 748808747 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 230034044006400 its reverse (4600440430032), we get a palindrome (234634484436432).

The spelling of 230034044006400 in words is "two hundred thirty trillion, thirty-four billion, forty-four million, six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4096 4800 5120 6144 6400 7680 9600 10240 12288 12800 15360 19200 20480 25600 30720 38400 51200 61440 76800 102400 153600 307200 748808737 1497617474 2246426211 2995234948 3744043685 4492852422 5990469896 7488087370 8985704844 11232131055 11980939792 14976174740 17971409688 18720218425 22464262110 23961879584 29952349480 35942819376 37440436850 44928524220 47923759168 56160655275 59904698960 71885638752 74880873700 89857048440 95847518336 112321310550 119809397920 143771277504 149761747400 179714096880 191695036672 224642621100 239618795840 287542555008 299523494800 359428193760 383390073344 449285242200 479237591680 575085110016 599046989600 718856387520 766780146688 898570484400 958475183360 1150170220032 1198093979200 1437712775040 1533560293376 1797140968800 1916950366720 2300340440064 2396187958400 2875425550080 3067120586752 3594281937600 3833900733440 4600680880128 4792375916800 5750851100160 7188563875200 7667801466880 9201361760256 9584751833600 11501702200320 14377127750400 15335602933760 19169503667200 23003404400640 28754255500800 38339007334400 46006808801280 57508511001600 76678014668800 115017022003200 230034044006400