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14020543153664 = 29237125166809
BaseRepresentation
bin1100110000000110100101…
…1111101000011000000000
31211122100110202111021202122
43030001221133220120000
53314203033021404124
645452540522103412
72644644062312615
oct314015137503000
954570422437678
1014020543153664
114516096106033
1216a533764ab68
137a9193012a88
1436685294050c
15194a8e6a875e
hexcc0697e8600

14020543153664 has 160 divisors (see below), whose sum is σ = 29761950113280. Its totient is φ = 6584596480000.

The previous prime is 14020543153607. The next prime is 14020543153667. The reversal of 14020543153664 is 46635134502041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020543153667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 209826692 + ... + 209893500.

It is an arithmetic number, because the mean of its divisors is an integer number (186012188208).

Almost surely, 214020543153664 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 14020543153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880975056640).

14020543153664 is an abundant number, since it is smaller than the sum of its proper divisors (15741406959616).

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

14020543153664 is an equidigital number, since it uses as much as digits as its factorization.

14020543153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67172 (or 67156 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 14020543153664 in words is "fourteen trillion, twenty billion, five hundred forty-three million, one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 128 142 184 251 256 284 368 502 512 568 736 1004 1136 1472 1633 2008 2272 2944 3266 4016 4544 5773 5888 6532 8032 9088 11546 11776 13064 16064 17821 18176 23092 26128 32128 35642 36352 46184 52256 64256 66809 71284 92368 104512 128512 133618 142568 184736 209024 267236 285136 369472 409883 418048 534472 570272 738944 819766 836096 1068944 1140544 1477888 1536607 1639532 2137888 2281088 2955776 3073214 3279064 4275776 4562176 4743439 6146428 6558128 8551552 9124352 9486878 12292856 13116256 16769059 17103104 18973756 24585712 26232512 33538118 34206208 37947512 49171424 52465024 67076236 75895024 98342848 104930048 109099097 134152472 151790048 196685696 209860096 218198194 268304944 303580096 385688357 393371392 436396388 536609888 607160192 771376714 786742784 872792776 1073219776 1190603189 1214320384 1542753428 1745585552 2146439552 2381206378 2428640768 3085506856 3491171104 4292879104 4762412756 6171013712 6982342208 8585758208 9524825512 12342027424 13964684416 19049651024 24684054848 27383873347 27929368832 38099302048 49368109696 54767746694 55858737664 76198604096 98736219392 109535493388 152397208192 197472438784 219070986776 304794416384 438141973552 609588832768 876283947104 1752567894208 3505135788416 7010271576832 14020543153664