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17142053400472 = 23711138179261721
BaseRepresentation
bin1111100101110011001000…
…0000001110111110011000
32020200202122011201122212011
43321130302000032332120
54221323411132303342
6100242541155555304
73416321030525230
oct371346200167630
966622564648764
1017142053400472
1155099a4285690
121b0a2b2bbbb34
139746478992b0
1443397358ccc0
151ead86773717
hexf973200ef98

17142053400472 has 128 divisors (see below), whose sum is σ = 43160260953600. Its totient is φ = 6164196940800.

The previous prime is 17142053400379. The next prime is 17142053400481. The reversal of 17142053400472 is 27400435024171.

It is a happy number.

17142053400472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65366572 + ... + 65628292.

It is an arithmetic number, because the mean of its divisors is an integer number (337189538700).

Almost surely, 217142053400472 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 17142053400472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580130476800).

17142053400472 is an abundant number, since it is smaller than the sum of its proper divisors (26018207553128).

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

17142053400472 is a wasteful number, since it uses less digits than its factorization.

17142053400472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269937 (or 269933 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 17142053400472 in words is "seventeen trillion, one hundred forty-two billion, fifty-three million, four hundred thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 8179 16358 32716 57253 65432 89969 106327 114506 179938 212654 229012 261721 359876 425308 458024 523442 629783 719752 744289 850616 1046884 1169597 1259566 1488578 1832047 2093768 2339194 2519132 2878931 2977156 3402373 3664094 4678388 5038264 5757862 5954312 6804746 7328188 8187179 9356776 11515724 13609492 14656376 16374358 20152517 23031448 23816611 27218984 32748716 37426103 40305034 47633222 65497432 74852206 80610068 95266444 149704412 161220136 190532888 261982721 299408824 523965442 1047930884 2095861768 2140616059 4281232118 8562464236 14984312413 17124928472 23546776649 27828008767 29968624826 47093553298 55656017534 59937249652 94187106596 111312035068 119874499304 164827436543 188374213192 194796061369 222624070136 306108096437 329654873086 389592122738 612216192874 659309746172 779184245476 1224432385748 1318619492344 1558368490952 2142756675059 2448864771496 4285513350118 8571026700236 17142053400472