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194420857606144 = 212132167592
BaseRepresentation
bin101100001101001100100010…
…001001111001000000000000
3221111101110012211221001101021
4230031030202021321000000
5200440342404021344034
61525255413045315224
755644305044401601
oct5415144211710000
9844343184831337
10194420857606144
1156a48471639524
1219980093a05b14
138463a67817400
14360203c161da8
1517724ecbc16b4
hexb0d322279000

194420857606144 has 117 divisors (see below), whose sum is σ = 421027179259473. Its totient is φ = 89727349211136.

The previous prime is 194420857606051. The next prime is 194420857606189. The reversal of 194420857606144 is 441606758024491.

The square root of 194420857606144 is 13943488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28760481894400 + 165660375711744 = 5362880^2 + 12870912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11600973637 + ... + 11600990395.

Almost surely, 2194420857606144 is an apocalyptic number.

194420857606144 is the 13943488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194420857606144

194420857606144 is an abundant number, since it is smaller than the sum of its proper divisors (226606321653329).

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

194420857606144 is an frugal number, since it uses more digits than its factorization.

194420857606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33568 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 194420857606144 in words is "one hundred ninety-four trillion, four hundred twenty billion, eight hundred fifty-seven million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 10816 13312 16759 21632 26624 33518 43264 53248 67036 86528 134072 173056 217867 268144 346112 435734 536288 692224 871468 1072576 1742936 2145152 2832271 3485872 4290304 5664542 6971744 8580608 11329084 13943488 17161216 22658168 27886976 34322432 45316336 55773952 68644864 90632672 111547904 181265344 223095808 280864081 362530688 446191616 561728162 725061376 892383232 1123456324 1450122752 2246912648 2900245504 3651233053 4493825296 5800491008 7302466106 8987650592 11600982016 14604932212 17975301184 29209864424 35950602368 47466029689 58419728848 71901204736 94932059378 116839457696 143802409472 189864118756 233678915392 287604818944 379728237512 467357830784 575209637888 759456475024 934715661568 1150419275776 1518912950048 1869431323136 3037825900096 3738862646272 6075651800192 7477725292544 12151303600384 14955450585088 24302607200768 48605214401536 97210428803072 194420857606144