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434021552055 = 325721315141167
BaseRepresentation
bin1100101000011011011…
…00110100111110110111
31112111021201010021200100
412110031230310332313
524102334004131210
6531215312045143
743233313215300
oct6241554647667
91474251107610
10434021552055
1115808193aa73
1270148b337b3
1331c0ac2c830
14170147717a7
15b4536035c0
hex650db34fb7

434021552055 has 72 divisors (see below), whose sum is σ = 942446860992. Its totient is φ = 183147543936.

The previous prime is 434021552017. The next prime is 434021552057. The reversal of 434021552055 is 550255120434.

434021552055 is a `hidden beast` number, since 4 + 34 + 0 + 21 + 552 + 0 + 55 = 666.

It is not a de Polignac number, because 434021552055 - 27 = 434021551927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434021552057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7541919 + ... + 7599248.

It is an arithmetic number, because the mean of its divisors is an integer number (13089539736).

Almost surely, 2434021552055 is an apocalyptic number.

434021552055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

434021552055 is an abundant number, since it is smaller than the sum of its proper divisors (508425308937).

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

434021552055 is a wasteful number, since it uses less digits than its factorization.

434021552055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141205 (or 15141195 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 434021552055 its reverse (550255120434), we get a palindrome (984276672489).

The spelling of 434021552055 in words is "four hundred thirty-four billion, twenty-one million, five hundred fifty-two thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 5733 9555 28665 15141167 45423501 75705835 105988169 136270503 196835171 227117505 317964507 529940845 590505513 681352515 741917183 953893521 984175855 1377846197 1589822535 1771516539 2225751549 2952527565 3709585915 4133538591 4769467605 6677254647 6889230985 8857582695 9644923379 11128757745 12400615773 20667692955 28934770137 33386273235 48224616895 62003078865 86804310411 144673850685 434021552055