Search a number
-
+
4302000202240 = 29513294457477
BaseRepresentation
bin111110100110100011001…
…100011010001000000000
3120020021012210100112022201
4332212203030122020000
51030440444022432430
613052151150242544
7622544401242046
oct76464314321000
916207183315281
104302000202240
111409516a63474
1259590b1b6454
132528a5142760
1410c309d90396
1576d8906b8ca
hex3e9a331a200

4302000202240 has 160 divisors (see below), whose sum is σ = 11491199984880. Its totient is φ = 1533657022464.

The previous prime is 4302000202237. The next prime is 4302000202267. The reversal of 4302000202240 is 422020002034.

It can be written as a sum of positive squares in 8 ways, for example, as 2672884930816 + 1629115271424 = 1634896^2 + 1276368^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263619 + ... + 3193858.

Almost surely, 24302000202240 is an apocalyptic number.

4302000202240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4302000202240 is an abundant number, since it is smaller than the sum of its proper divisors (7189199782640).

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

4302000202240 is a wasteful number, since it uses less digits than its factorization.

4302000202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457542 (or 4457526 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 4302000202240 its reverse (422020002034), we get a palindrome (4724020204274).

The spelling of 4302000202240 in words is "four trillion, three hundred two billion, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 256 260 290 320 377 416 464 512 520 580 640 754 832 928 1040 1160 1280 1508 1664 1856 1885 2080 2320 2560 3016 3328 3712 3770 4160 4640 6032 6656 7424 7540 8320 9280 12064 14848 15080 16640 18560 24128 30160 33280 37120 48256 60320 74240 96512 120640 193024 241280 482560 965120 4457477 8914954 17829908 22287385 35659816 44574770 57947201 71319632 89149540 115894402 129266833 142639264 178299080 231788804 258533666 285278528 289736005 356598160 463577608 517067332 570557056 579472010 646334165 713196320 927155216 1034134664 1141114112 1158944020 1292668330 1426392640 1680468829 1854310432 2068269328 2282228224 2317888040 2585336660 2852785280 3360937658 3708620864 4136538656 4635776080 5170673320 5705570560 6721875316 7417241728 8273077312 8402344145 9271552160 10341346640 11411141120 13443750632 14834483456 16546154624 16804688290 18543104320 20682693280 26887501264 29668966912 33092309248 33609376580 37086208640 41365386560 53775002528 66184618496 67218753160 74172417280 82730773120 107550005056 134437506320 148344834560 165461546240 215100010112 268875012640 330923092480 430200020224 537750025280 860400040448 1075500050560 2151000101120 4302000202240