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420147683344 = 24131212372
BaseRepresentation
bin1100001110100101100…
…00001110000000010000
31111011110210222201201001
412013102300032000100
523340430301331334
6521002502551344
742232436245414
oct6072260160020
91434423881631
10420147683344
11152202461074
1269516738554
13308097b356c
1416499d2cd44
15ade05d7714
hex61d2c0e010

420147683344 has 45 divisors (see below), whose sum is σ = 820961258781. Its totient is φ = 208301695680.

The previous prime is 420147683273. The next prime is 420147683357. The reversal of 420147683344 is 443386741024.

It is a happy number.

The square root of 420147683344 is 648188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 317306890000 + 102840793344 = 563300^2 + 320688^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420147683294 and 420147683303.

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 8 ways as a sum of consecutive naturals, for example, 339649894 + ... + 339651130.

Almost surely, 2420147683344 is an apocalyptic number.

420147683344 is the 648188-th square number.

It is an amenable number.

420147683344 is a deficient number, since it is larger than the sum of its proper divisors (400813575437).

420147683344 is an frugal number, since it uses more digits than its factorization.

420147683344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 420147683344 in words is "four hundred twenty billion, one hundred forty-seven million, six hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 131 262 524 1048 1237 2096 2474 4948 9896 17161 19792 34322 68644 137288 162047 274576 324094 648188 1296376 1530169 2592752 3060338 6120676 12241352 21228157 24482704 42456314 84912628 169825256 200452139 339650512 400904278 801808556 1603617112 3207234224 26259230209 52518460418 105036920836 210073841672 420147683344