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34572038144 = 21277915263
BaseRepresentation
bin100000001100101001…
…110111000000000000
310022020101101111122012
4200030221313000000
51031300420210034
623514314432052
72332504322060
oct401451670000
9108211344565
1034572038144
1113731017a56
12684a132628
13334c672007
14195d7473a0
15d751e6cce
hex80ca77000

34572038144 has 104 divisors (see below), whose sum is σ = 80017551360. Its totient is φ = 14628077568.

The previous prime is 34572038143. The next prime is 34572038197. The reversal of 34572038144 is 44183027543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34572038143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2257457 + ... + 2272719.

Almost surely, 234572038144 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 34572038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40008775680).

34572038144 is an abundant number, since it is smaller than the sum of its proper divisors (45445513216).

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

34572038144 is an equidigital number, since it uses as much as digits as its factorization.

34572038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15373 (or 15351 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 34572038144 in words is "thirty-four billion, five hundred seventy-two million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 512 553 632 896 1024 1106 1264 1792 2048 2212 2528 3584 4096 4424 5056 7168 8848 10112 14336 15263 17696 20224 28672 30526 35392 40448 61052 70784 80896 106841 122104 141568 161792 213682 244208 283136 323584 427364 488416 566272 854728 976832 1132544 1205777 1709456 1953664 2265088 2411554 3418912 3907328 4823108 6837824 7814656 8440439 9646216 13675648 15629312 16880878 19292432 27351296 31258624 33761756 38584864 54702592 62517248 67523512 77169728 109405184 135047024 154339456 218810368 270094048 308678912 437620736 540188096 617357824 1080376192 1234715648 2160752384 2469431296 4321504768 4938862592 8643009536 17286019072 34572038144