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420314351004 = 223247595341729
BaseRepresentation
bin1100001110111001011…
…00000000010110011100
31111011220102121022202100
412013130230000112130
523341300433213004
6521031215125100
742236532015102
oct6073454002634
91434812538670
10420314351004
11152288547a39
1269562513790
1330835199b92
14164b4115c72
15ae0005a739
hex61dcb0059c

420314351004 has 72 divisors (see below), whose sum is σ = 1085275114560. Its totient is φ = 137097510912.

The previous prime is 420314350997. The next prime is 420314351011. The reversal of 420314351004 is 400153413024.

It is a happy number.

420314351004 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 143 + 510 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (420314350997) and next prime (420314351011).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10051612 + ... + 10093340.

It is an arithmetic number, because the mean of its divisors is an integer number (15073265480).

Almost surely, 2420314351004 is an apocalyptic number.

It is an amenable number.

420314351004 is an abundant number, since it is smaller than the sum of its proper divisors (664960763556).

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

420314351004 is a wasteful number, since it uses less digits than its factorization.

420314351004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47739 (or 47734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 420314351004 its reverse (400153413024), we get a palindrome (820467764028).

The spelling of 420314351004 in words is "four hundred twenty billion, three hundred fourteen million, three hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 5953 11906 17859 23812 35718 41729 53577 71436 83458 107154 125187 166916 214308 250374 279791 375561 500748 559582 751122 839373 1119164 1502244 1678746 1961263 2518119 3357492 3922526 5036238 5883789 7845052 10072476 11767578 17651367 23535156 35302734 70605468 248412737 496825474 745238211 993650948 1490476422 2235714633 2980952844 4471429266 8942858532 11675398639 23350797278 35026195917 46701594556 70052391834 105078587751 140104783668 210157175502 420314351004