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161103741344 = 257313286851
BaseRepresentation
bin1001011000001010001…
…0000000000110100000
3120101211121010000110222
42112002202000012200
510114420024210334
6202002100142212
714432205131000
oct2260242000640
9511747100428
10161103741344
1162361953397
1227281397968
1312265b2a500
147b24348000
1542cd811d2e
hex25828801a0

161103741344 has 144 divisors (see below), whose sum is σ = 400526683200. Its totient is φ = 63732614400.

The previous prime is 161103741277. The next prime is 161103741347. The reversal of 161103741344 is 443147301161.

It is not an unprimeable number, because it can be changed into a prime (161103741347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811519 + ... + 1898369.

It is an arithmetic number, because the mean of its divisors is an integer number (2781435300).

Almost surely, 2161103741344 is an apocalyptic number.

161103741344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161103741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200263341600).

161103741344 is an abundant number, since it is smaller than the sum of its proper divisors (239422941856).

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

161103741344 is an equidigital number, since it uses as much as digits as its factorization.

161103741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86908 (or 86873 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 161103741344 in words is "one hundred sixty-one billion, one hundred three million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 343 364 392 416 637 676 686 728 784 1183 1274 1352 1372 1456 1568 2366 2548 2704 2744 2912 4459 4732 5096 5408 5488 8281 8918 9464 10192 10976 16562 17836 18928 20384 33124 35672 37856 57967 66248 71344 86851 115934 132496 142688 173702 231868 264992 347404 463736 607957 694808 927472 1129063 1215914 1389616 1854944 2258126 2431828 2779232 4255699 4516252 4863656 7903441 8511398 9032504 9727312 14677819 15806882 17022796 18065008 19454624 29355638 29789893 31613764 34045592 36130016 55324087 58711276 59579786 63227528 68091184 102744733 110648174 117422552 119159572 126455056 136182368 205489466 221296348 234845104 238319144 252910112 387268609 410978932 442592696 469690208 476638288 719213131 774537218 821957864 885185392 953276576 1438426262 1549074436 1643915728 1770370784 2876852524 3098148872 3287831456 5034491917 5753705048 6196297744 10068983834 11507410096 12392595488 20137967668 23014820192 40275935336 80551870672 161103741344