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34215143342044 = 22729145145616367
BaseRepresentation
bin1111100011110010101010…
…11101101111111111011100
311111010221021011112121220211
413301321111131233333130
513441040103143421134
6200434115253422204
710130651101545520
oct761712535577734
9144127234477824
1034215143342044
11a9a161947a935
123a0715a33a964
1316126219b0472
14864043a65d80
153e50338d4764
hex1f1e5576ffdc

34215143342044 has 96 divisors (see below), whose sum is σ = 70865398517760. Its totient is φ = 14142909312000.

The previous prime is 34215143341991. The next prime is 34215143342077. The reversal of 34215143342044 is 44024334151243.

It is a junction number, because it is equal to n+sod(n) for n = 34215143341988 and 34215143342006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5373821749 + ... + 5373828115.

It is an arithmetic number, because the mean of its divisors is an integer number (738181234560).

Almost surely, 234215143342044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34215143342044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35432699258880).

34215143342044 is an abundant number, since it is smaller than the sum of its proper divisors (36650255175716).

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

34215143342044 is a wasteful number, since it uses less digits than its factorization.

34215143342044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 34215143342044 its reverse (44024334151243), we get a palindrome (78239477493287).

The spelling of 34215143342044 in words is "thirty-four trillion, two hundred fifteen billion, one hundred forty-three million, three hundred forty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1451 2902 4561 5804 6367 9122 10157 12734 18244 20314 25468 31927 40628 42079 44569 63854 84158 89138 127708 132269 168316 178276 184643 264538 294553 369286 529076 589106 738572 925883 1178212 1292501 1851766 2585002 3703532 5170004 6618011 9238517 13236022 18477034 26472044 29039887 36954068 46326077 58079774 64669619 92652154 116159548 129339238 185304308 191922319 203279209 258678476 267916993 383844638 406558418 535833986 767689276 813116836 842156723 1071667972 1343456233 1684313446 1875418951 2686912466 3368626892 3750837902 5373824932 5895097061 7501675804 11790194122 23580388244 42136876037 84273752074 168547504148 294958132259 589916264518 1179832529036 1221969405073 2443938810146 4887877620292 8553785835511 17107571671022 34215143342044