Search a number
-
+
108914143488 = 283594675147
BaseRepresentation
bin110010101101111001…
…0011111000100000000
3101102010102011202021020
41211123302133010000
53241024010042423
6122011240025440
710603664642013
oct1453362370400
9342112152236
10108914143488
1142210216037
1219137162280
13a36955ba67
1453b2cc737a
152c76b074e3
hex195bc9f100

108914143488 has 144 divisors (see below), whose sum is σ = 295472136960. Its totient is φ = 35606038528.

The previous prime is 108914143433. The next prime is 108914143493. The reversal of 108914143488 is 884341419801.

It is a super-2 number, since 2×1089141434882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 108914143488.

It is an unprimeable number.

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, 21158131 + ... + 21163277.

It is an arithmetic number, because the mean of its divisors is an integer number (2051889840).

Almost surely, 2108914143488 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 108914143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147736068480).

108914143488 is an abundant number, since it is smaller than the sum of its proper divisors (186557993472).

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

108914143488 is an equidigital number, since it uses as much as digits as its factorization.

108914143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 108914143488 in words is "one hundred eight billion, nine hundred fourteen million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 467 472 708 768 934 944 1401 1416 1868 1888 2802 2832 3736 3776 5147 5604 5664 7472 7552 10294 11208 11328 14944 15104 15441 20588 22416 22656 27553 29888 30882 41176 44832 45312 55106 59776 61764 82352 82659 89664 110212 119552 123528 164704 165318 179328 220424 247056 303673 329408 330636 358656 440848 494112 607346 658816 661272 881696 911019 988224 1214692 1317632 1322544 1763392 1822038 1976448 2403649 2429384 2645088 3526784 3644076 3952896 4807298 4858768 5290176 7053568 7210947 7288152 9614596 9717536 10580352 14421894 14576304 19229192 19435072 21160704 28843788 29152608 38458384 38870144 57687576 58305216 76916768 77740288 115375152 116610432 141815291 153833536 230750304 233220864 283630582 307667072 425445873 461500608 567261164 615334144 850891746 923001216 1134522328 1701783492 1846002432 2269044656 3403566984 4538089312 6807133968 9076178624 13614267936 18152357248 27228535872 36304714496 54457071744 108914143488