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102943439104 = 2811218232
BaseRepresentation
bin101111111011111101…
…0000011100100000000
3100211201022020112121211
41133313322003210000
53141312010022404
6115142551055504
710303014536422
oct1376772034400
9324638215554
10102943439104
113a726984500
1217b4b671594
13992757c49c
144da7d42812
152a27859b04
hex17f7e83900

102943439104 has 81 divisors (see below), whose sum is σ = 225987373339. Its totient is φ = 46766804480.

The previous prime is 102943439057. The next prime is 102943439171. The reversal of 102943439104 is 401934349201.

The square root of 102943439104 is 320848.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56468337 + ... + 56470159.

Almost surely, 2102943439104 is an apocalyptic number.

102943439104 is the 320848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102943439104

102943439104 is an abundant number, since it is smaller than the sum of its proper divisors (123043934235).

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

102943439104 is an frugal number, since it uses more digits than its factorization.

102943439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 102943439104 in words is "one hundred two billion, nine hundred forty-three million, four hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1823 1936 2816 3646 3872 7292 7744 14584 15488 20053 29168 30976 40106 58336 80212 116672 160424 220583 233344 320848 441166 466688 641696 882332 1283392 1764664 2566784 3323329 3529328 5133568 6646658 7058656 13293316 14117312 26586632 28234624 36556619 53173264 56469248 73113238 106346528 146226476 212693056 292452952 402122809 425386112 584905904 804245618 850772224 1169811808 1608491236 2339623616 3216982472 4679247232 6433964944 9358494464 12867929888 25735859776 51471719552 102943439104