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424243331200 = 27521310198157
BaseRepresentation
bin1100010110001101101…
…11111000000010000000
31111120001020200012100101
412023012313320002000
523422322243044300
6522521130532144
742436100546623
oct6130667700200
91446036605311
10424243331200
11153a14333a07
126a27a297054
1331010183830
1416767c5ddba
15b07ee52b6a
hex62c6df8080

424243331200 has 96 divisors (see below), whose sum is σ = 1128630145860. Its totient is φ = 156643676160.

The previous prime is 424243331137. The next prime is 424243331209. The reversal of 424243331200 is 2133342424.

It can be written as a sum of positive squares in 6 ways, for example, as 17291198016 + 406952133184 = 131496^2 + 637928^2 .

It is not an unprimeable number, because it can be changed into a prime (424243331209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5057479 + ... + 5140678.

Almost surely, 2424243331200 is an apocalyptic number.

424243331200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424243331200 is an abundant number, since it is smaller than the sum of its proper divisors (704386814660).

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

424243331200 is a wasteful number, since it uses less digits than its factorization.

424243331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198194 (or 10198177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 424243331200 its reverse (2133342424), we get a palindrome (426376673624).

The spelling of 424243331200 in words is "four hundred twenty-four billion, two hundred forty-three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 10198157 20396314 40792628 50990785 81585256 101981570 132576041 163170512 203963140 254953925 265152082 326341024 407926280 509907850 530304164 652682048 662880205 815852560 1019815700 1060608328 1305364096 1325760410 1631705120 2039631400 2121216656 2651520820 3263410240 3314401025 4079262800 4242433312 5303041640 6526820480 6628802050 8158525600 8484866624 10606083280 13257604100 16317051200 16969733248 21212166560 26515208200 32634102400 42424333120 53030416400 84848666240 106060832800 212121665600 424243331200